# SURDS AND INDICES ( 20 IMPORTANT QUESTIONS)

So friends, first of all, thanks for being here in my youtube channel so friends today in this video, we are going to cover 20 important questions on the topic called certs and indices? So friends, my advice is before watching this video so kindly go to my website and write the test initially on the topic, search and indices, so that, after writing, the test you can analyze what are all the mistakes you have done by watching this video right! So friends, let me move on to all the 20 questions on the topic called search and end isis question about 1, so 8 power 16 into 8 power, 3 into 8, /, 4, division, 8 power 14, is equals to 2 power! Question mark so friends? Our target to convert the left hand side expressions in terms of to power, something right.

Why? because we need to find 2 power question mark so first, let me do one thing: either we can convert this 8 as 2 cube or otherwise! At the final stage, we can convert this expression 8 in terms of 2 right, so friends, here, 8 +, 16, +, 3, + 4 right because a power m into a power n will be a power m plus n, so 16, plus 3 plus 4, and a minus of 14 is equal to 2 power question mark? So this can be written as 16 plus 4 will be 20 20 plus 3 will be 23, so 23 minus 14 is equals to 2 power.

Question mark, so 23 minus 14 will be 9 as equals to 2 power. Question mark so friends.

Our target to convert this 8 in terms of 2 right. So this 8 can be written as 2 q. Whole power 9 is equals to 2 power. Question mark, so 9 into 3 will be 27, so do power.

27 is equal to 2 power question mark.

So finally, we can say that the answer for first equation will be 27. So friends either you can convert this 8 power 16 directly right! Some students will initially write this as 2 q / 16? Either you can go for this method or otherwise keep the expression hazardous and finally convert the expression in terms of 2. So finally, we got the answer for question number 1 that is 27 number 2, so 32 power for division, 128 power 9 into 64 power! 12, is equal to 2 power? Question mark. So friends! We need to convert all left hand, side expression in terms of to power right, so i think 32 can be written as 2 power i so to power. 5 will be 32 and power. 4 divided by i, think do power! 6 will be 64, so this will be 2! Power sounds like to pause, have 1 into 9. So finally, this can written as 2 power 6 will be 64 into 12 as equals to 2 power question mark. So friends this can be done as 2 power 5 into 4 will be 20, so division, so 9 into 7 will be 63 so into 2 power.

This will be 72, so friends. First of all, we know that a podium division, a power n- will be a 4 a. M. – n? So this can be written as 2 power. 20 -, 63 plus 72 is equal to 2 power question mark. So finally, this can be done as either. You can add both the numbers. Then you can subtract this right or otherwise? You can directly subtract this minus 63, plus 72 friends.

Listen a don’t make mistake here it so minus 63, plus 72. The resultant will be 9, so 20 plus 9! So finally, we can say that answer will be? 29 is equal to 2 power, question 1. So finally, we got an answer that is: question mark is equal to 29 question number 3, so 8 power 7 into 2 power, 6, division, 8, /, 2 point 4 is equal to 8 per question mark, so fence i think we need to convert this left hand, side expression in terms of 8 power. Something so only target is we need to convert this to power 6 in terms of 8 right, so this can be written as 8 power 7.

So friends to power, 6 can be written as 2 cube. Whole square division, 8 power, 2 point 4- is equals to 8 per question mark. So 8 power, 7, so 2 cube, will be 8, so 8 square, division, 8, /, 2 point 4 this sequence to 8 per question mark so friends! Finally, i have converted the left hand, side expression in terms of 8 power, something right? So a power m into a power n will be a power m plus n, and we already know that a podium division, a power n will be a power m minus n. So finally, this can be done as eight power, 7 plus 2 minus 2 point 4 as equals to 8 /. So friends to minus two point: four will be zero point four right.

So finally ket we can say that seven minus zero point four is equals to 8 for question mark so 7 minus zero point? Four will be six point six. So finally we can say that answer for question number 3, that is 6 point 6 question number 4, so 2 power, zero point two into 64 into 8 power, 1 point 3 into 4 power, zero point two as equals to 8 power question mark. So once we need to convert the complete expression in terms of eight power, something right so i think this 64 can be written as eight square right. Similarly, here it is 8 power, 1 point 3 and the remaining numbers are 2 power, zero point 2 into 4 power, zero point 2 is equals to 8 per question work. So when this expression looks like a power m into b power m, so this can be done as a into b power m right where the powers are same. If the powers are same and the denominator values are different. So we need to multiply this a into b power m! So this can be written as 8 square into 8 power? One point three: so when 4 into 2 resultant will be 8, but the power is same right, 0.

2 0. 2 so find this can be done as eight power. Zero point two so friends 4 into 2, that is a into b, so 4 into 2 will be 8 and the power will be zero point two is equals to 8 per question mark.

So finally, this can written as 8 power, 2 plus one point three plus zero point.

Two is equals to 8 per question mark, so friends, 2 plus 0! 2 plus one point.

Three will be three point: five, because 2 plus one point three will be three point? Three three point, three plus zero point. Two will be three point five, so finally, we can say that 8 power, three point: five is equal to 8 per question mark. So finally, we got the answer for question number 4!

That is three point!

Five question number five, so 80 into zero point. Four zero power 3 is equals to 2 power, x division, four power, 9, so friends, 80 into zero point? Four zero will be 32 power. Three right! If you are a beginner, kindly write this as 80 into 40 in order to remove the decimal point divided by hundred so power 3 is equal to 2 power, x division, so this 4 and wilderness to square power 9! So once if you are a beginner kind, generators or otherwise, we can directly say us? 18 to 0. 40 will be 32 right?

So we can cancel zero. Zero, so eight fours are 32, so 32 power 3 is equals to 2 power. X division, so 9 into 2 will be 18. That is 2 power 18! So once this can be done, has to power. 5 power 3 is equals to 2 power. X division, 2 power 18, so 5 into 3, will be 15 so to power. 15 is equals to 2 power! X division 2 power 18. So this can be written as 2 power.

15 is equal to a power m division. A power n will be a power m minus n that is 8 minus, that is x minus 18. So finally, this can be written as 15 a sequence 2 x minus 18, so we can cancel 2 & 2. So finally, we can say this as 15 is equal to x minus 18, so x is equal to 15, plus 18, so x is equal to 33. So friends. Finally, we got the answer for question number 5, that is 33 question number 6, so 80 into 0. 40 power, 3, so friends, our target to find what is 2 power, x plus 1, so i think we need to convert all the expression in terms of to power? Something right, so 80 into 0. 40 can be written as 30 to power.

3, so 40 into 1. 6 will be 64 power 3.

So this will be 128. Power. 3 is equal to 2 power, x plus 7. So when 32 can be written as 2 power 5, so power, 3, division 64 will be 2 power! 6 power 3 into this will be 2 power, 7 power 3. This is equals to 2 power, x plus 7, so friends, 5 into 3 will be 15? There is a 2 part, 15 division, 2 power, 18 16 to 3 will be 18, so 7 into 3 will be. 21 is equal to 2 power, x plus 7! So friends. Here it is a power m division, a power n, this revery, a power m minus n right. So finally, this can be written as 2 power. 15 minus 18, so plus 21 is equals to 2 power, x plus 7, so fancy here it is minus 18, plus 21. The resultant will be plus three, so this can be written as 2 power. 15 plus 3 is equal to 2 power, x plus 7! So when says any offense, kindly don’t make a mistake or otherwise add 15 plus 21, then subtract with 18 or otherwise minus 18, plus 21? The resultant will be plus 3, so 15 plus 3 will be 18, so 2 power 18 is equal to 2 power, x plus 7? So, finally, we can say that 18 is equal to x plus 7, so x is equal to 18 minus 7, so x is equal to 11, so friends. Finally, we gotta answer love and that is for question number 6 question number 7, so zero point, eight one square, division, zero point: seven to nine power cube into zero point! Nine square int is equal to zero point! Nine question mark minus three? So friends, here the question mark in terms of 0? 9, so we need to convert all the expression in terms of 0.

9 right, so this can be written as zero point nine square because zero point nine square will be zero point, eight one so power to division! So this can be done at zero point: nine cube right! we know that nine cube will be 729, so power 3 into zero point. Nine whole square. This equals to zero point. Nine question: mark minus three, so when’s two into two will be 4, so zero point: nine power for division, so 3 into 3 will be 9, so zero point: nine power, nine into zero point. Nine power 2 is equal to zero point. Nine question mark minus three. So friends here does a podium, division, a power n, so 4 minus nine, the resultant will be zero point and or otherwise either we can write this 4 minus 9 and here it is plus two is equals to zero point. Nine.

So question mark minus three, so when’s four plus two will be 6. 6 minus nine will be minus three.

So zero point: nine power! Minus three is equal to zero point: nine power: question mark minus three! So finally we can cancel 0. 9 0.

9, so we got minus three is equal to question. Mark minus three? So question mark is equal to minus three plus three. So finally, we got question mark is equal to zero.

So once finally, we got an answer. 0 for question number sour question: number eight, so zero point: six for power for division, 0. 5, 1, 2 power, 3, so brands our target to convert all the complete x in terms of 0. 8 right. So i think this can be written as zero point eight square power for division. So zero point, eight cube power, 3 into zero point.

Eight power four is equal to zero point 8 into x, plus three, so friends, i.

Think four into two will be eight! It’s zero point: eight power, eight, so division so 3 into 3 will be nine zero point: eight power, nine, so zero point: eight power! four is equal to zero point: eight power, x, plus three, so friends here it is similar to the previous question right! So this can be written as zero point. Eight power, eight minus 9 plus four- is equal to zero point? Eight power x plus three, so when eight plus four will be twelve right, so 12 minus nine, the resultant will be three so zero point. Eight power 3 is equals to zero point eight power x plus three, so we can cancel 0! 8 0. 8. So finally, this can be written as 3 is equal to x plus 3? So x is equal to three minus three! So finally, we got an answer. X is equal to 0! That is for question number! Eight number, nine, so zero point, four nine power, 4, so friends have a target to convert all the expression in terms of listen, hey friends. Here it is 70 divided by hundred i think this can be done. A zero point: seven power, x plus three. So finally, we need to convert all the left hand, side expression in terms of 0? 7 right, so i think 0.

49 can be written as zero point seven square right, so zero point, seven square, whole power, 4, so zero point, seven q, ol per for division, i think zero point two four zero one will be zero points around the old pot, four right, so zero point, seven volt per for power, 4 right.

We know that seven power 4 will be two four zero one friends. So this can be done s zero point, seven power, 4 and old power for right.

So i think this will be 2 into four will be eight, so zero point! Seven power 8 into 4 into 3 will be 12-0 point seven into 12, so 4 into 4 will be 16 zero point. Seven power 16 is equal to zero point: seven power, x plus three, so fancy editor 0.

7, so 8 and here it is placed 12? So minus of 16 is equal to 0. 7 power, x plus 3! So finally, this can be written as 8 plus 12 will be 20 20 minus 60 will be 4, so 0? 7 power 4 is equals to 0.

7 power, x plus 3! So finally, we can say this as 4 is equal to x plus 3!

So x is equal to 4 minus 3. So finally, we got x is equal to 1? So friends? Finally, we got the answer that is: x is equal to 1 for question number 9 question number 10, so 6 power, 3 point: 6 division, 36 power, minus 4. 2, so power 1 by 4 is equals to root of question mark. So firstly, is any answer, so this can be written as 6 power 3 point 6 as it is, and we know that 36 can be written as 6 square, so 6 square, so power, minus 4, point 2. So here it is 1 divided by 4, is equals to root of question mark so 6 power, 3 point 6 division, so when’s 2 into 4 point 2 will be eight point four right, so this can be written as 6 power. Minus 8 point four: so power 1 by 4 is equals to root of question mark so friends, a power m division, a power l will be a power m minus n.

So this can be written as 6 power? 3 point 6 minus of year.

It is minus eight point four so completely here it is 1 divided by 4. So once here it is root of question mark? So this can be done as question mark power 1 by 2, okay, so i think this can be done at 6 power. 3 point 6, so minus into minus will be plus eight point four, so forward 1 by 4 is equals to question mark power 1 by 2. So eight point four plus three point: six: the resultant will be 6 for 12, so 6 for 12!

So here it is 1 by 4 as equals to here? It is question mark power 1 by 2. So finally, i think we can cancel this 3 times so 6 power 3 is equal to question mark power 1 by 2, so 6 power 3.

So when we bring this 1 by 2 towards left hand, side, it will be square right is equal to question mark, so 3 into 2 will be 6, so 6 power 6 is equal to question 1! So when 6 power 6 can be written as not 216, we know that 6 cube will be 216, so 216 into 2 16 is equal to question! So finally, we can say that answer for question number 10 will be four six: six, five, six, nine two, four six, six five six! so finally, we got an answer check whether the option is six, four, six or otherwise. Four six, six, five, six question number 11, so 15 into 0! 40 power for division, one zero, eight, zero divide, 30, so power 4 into 27 into 8 power 4 is equals to 3 into 2 power, x plus 5. So once we know that 3 into 2 will be 6 right, so this can be done as 6 power, x, plus 5 so frenzy. Here it is x in terms of 6 for something? So we need to convert all the left, hands and expression in terms of 16, so 15 into 4 can be written as 6 right, so six power 4, so similarly division?

So once we can cancel 0 + 0. So finally, this can be written as 36 right, so 36 power 4 so into 27 into 8, so 27 into 8 will be 2 16, so 2 16 power 4 is equals to 6 power x, + 5, so 6 / 4 division.

This can be done as 6 square power 4. So when 6 cube power 4 this equals to 6 power x, +, 5, so 6 power for the division, so 4 into 2 will be 8? 6 power 8 into 6 power. 12 is equal to 6 power x, + 5. So finally, this can be written as 6 power. 4 minus 8 plus 12 is equal to 6 power x plus 5, because it is a podium division, a power n right, so a power m minus n that is 4, minus 8, plus 12, so whence 20 plus 4 will be 16, so 16 minus 8. Finally, this can be written as 6 power. 8 is equal to 6 power, x plus 5? So finally, we can cancel 6 +, x 6, so 8 is equal to x, plus 5, so x is equal to 8 minus 5? So finally, we can say that answer for question number 11 that is x is equal to 3 question number 12, so 28 power, 4 point 9 into 7 power, 0 point 1 into 2 power, 0 point 2, so division, 7 power, minus 2 point 5 into 2 power. Minus 5 is equal to 28 power. Question mark. So friends here question mark in terms of 28 power, something right. So we need to convert all the left hand, side expression in terms of 28? So when the unit is 28. 4 quinine, so we don’t want to disturb this number! The number a siddhis 28 / 4! 9, transferred here at the seven for 0. 1, so i think we know that sivan into 4 will be 20? So only thing is that we need to convert this to in terms of 4 right, so that then we can easily multiply someone into forest wingate. So when sour to only target is to convert this to in terms of 4 right, please an efference 7 in power, zero point 1, so this can be written as 2 square power, 0? 1, so friends, 2 into zero point. One will be zero point two right, so division so keep the seventh term as it is.

There is some one power minus two point: five. So friends this can be written as 2 square power? Minus two point: five is equal to 28 power! Question mark right, so i think this can be written as 28 power. Four point: nine, so i think sovereign power, zero point? One two square will be 4, so 4 power, zero point, one division, so seven power minus two point: five i think two square will be 4, so 4 power, minus 2.

5 s equals 228 power, question mark, so friends, i think they are at.

This looks like a former colonies in appearance.

This looks like a format called a power m into b power m, where the powers are same, but the base is different right, so this can be done as a into b power m. So 28 power, four point: nine seven into four will be 28 power, zero point, one so division? So when z here it is someone into four will be 28, so power minus two point: five is equal to 20 question mark so friends? Finally, we have converted the complete expression in terms of 28 power, something so this can be written as 28 power?

Four point: nine, so plus zero point, one. So minus of minus two point: five, as equals 228 power, question mark so friends, four point: nine plus zero point, one plus two point: five right, i think resultant will be seven point. Four, seven point: four plus zero point: one will be seven point five, so this can be written as 28 over seven point! Five is equal to 28 power x. So finally, we go that is? X is equal to seven point five for question number 12, so when’s question number 13, so cube root of seven power, one by two division: 343 power, minus 1 by 2, so again cube root of 7 power. 2 is equal to cube root of 7 per question mark? So friends i think we know that cube root of 7 can be written as seventh or one by three right so already here it is 1 by 2, so division 343 can be written as 7 cube power. Minus 1 by 2 and cube root of 7 can be written as 7 power 1 by 3 into 2, which equals 2?

So first we need to find cube root of some power question my right, so this can be done as someone power 1 by 3 into question mark right.

So friends, when we multiply 1 by 3 into 1 by 2, the resultant will be 1 by 6, so division, and this can be done as 7 power. Minus 3 by 2 and 1 by 3 into 2 will be some 1 power 2 by 3 is equals 2, so 7 power x by 3, right i, am just taking question mark as x, so 1 by 3 into x will be x by 3! So, finally, this can be written as a power. M division a power n right, so 7 power 1 by 6, so minus of minus 3 by 2 will be plus 3 by 2, and here it is plus 2 by 3 as equals to 7 power x by 3 i think we can take an lcm, a sixpence when we take l, say my 6 1, so 3 into 3 will be 9, so 3 into 2 will be 6. 2 into 2 will be 4. This is equals to 7 power x by 3, so 9 plus 1 will be 10.

10, plus 1, 10, plus 4 will be 14, sossamon power, i think 9, plus 1 will be 10.

10 plus 4 will be 14, so 14 divided by 6. This equals to 7 power x by 3.

So friends i think we can cancel this on two tables and those are 14. 7, 3, 6, so 7 power 7 by 3 is equals to 7 power x by 3.

So when we can cancel some 1 and 7. Similarly, we can cancel 3 & 3. So finally, we got the value that is. X is equal to someone. So friends, one of the important question so finally we got the answer that is: x is equal to 7 for question number 13 question number 14, so first the root of 27 power 3 into 81, the and 1/3 power 1 by 5, is equals to 9 power.

Question mark right, so funds. We need to convert all the expression in terms of nine power, something right, but we can’t able to convert this in terms of manpower, something friends, because it will be three cube right. So i think? Let me do one thing friends. This can be written as 27 for the route right, so this can be done as 1 by 5, so power 3 into 81 can be written as 9 square, so division. So i think when we bring this 3 power 1 by 5 to the numerator that will be 3 power, minus 1 by 5. This equals to 9 power. X i think this can be written as 3 people is an offense 27, so 3 into 1 by 5 will be 3 by 5 so into this can be written as 3 square. The whole square, so 3 power, minus 1 by 5, is equal to 9 power x right, so this 27 can be written as 3 cube, so 3 cube, so power 3 by 5, so into 2 into 2, will be 4. That is 3 power. 4 division, 3 power, minus 1 by 5, is equal to 9 power x.

So i think this can be written as 3 into 3 will be 9, so 3 power 9 by 5 into 3 power, 4 division, 3 power, minus 1 by 5, is equal to 9 power. X i think this look like a format called a power um into a power n right? So this can be written as 3 power, i, think 9 by 5, plus 4, so 9 by 5, plus 4 i! Think here it is minus of minus 1 by 5 will be plus 1 by 5, so plus 1 by 5 is equals to 9 power x. So this can be done as when we take lcm as phi! This will be 9, so 5 into 4 will be 20 and when we take lcms y, this will be 1 right, so 9 plus 1 will be 10. That will be 30 right, so 3 power, 30, divided by 5, is equals to 9. Power x is equal to 9 power x? So when we cancel this, this can be done as 3 power. 6 is equal to 9 power x.

So we need to bring the term in terms of 9 for something so 3 power 6 can be written as 3 square. The whole power 3 is equal to 9 power x, because 3 into 2 will be 6 right. So we can write this 3 square as 9 power 3.

So when power 3 is equal to 9 products, so finally we can cancel 9 & 9, so resultant will be. X is equal to 3, so friends? Finally, we got an answer for question.

Number 14 that is x is equal to 3 question number 15, so 0?

2 power 3 by 2 into 0? 008, so division 1, divided by root of zero point. 2 is equal to zero point. 2 power question much of a target to convert all the expression in terms of zero point to something right! So i think this can be written as zero point 2 power 3 by 2 and similarly 0? 008 can be written as zero point 2 the whole cube right, so zero point 2 the whole cube. The resultant will be zero point: zero, zero, eight, so division 1, divided by root of zero point? Two can be written as zero point! Two power 1 by 2 is equals to zero point! 2 power question mark it, so this can be done as zero point 2 power 3 by 2 into zero point. 2 power 3.

So i think that we can bring this denominator to the numerator friends.

So this can be done as zero point. Two power. Minus 1 by 2 is equal to zero point two power question mark! So this can be written as zero point 2 so 3 by 2. So multiplication, so here it is place and 3 here it is division, so i think minus of minus 1 by 2 plus equals to zero point! 2 power, question 1, so zero point, 2 3, divided by 2, plus 3 minus into minus, will be plus so plus 1 by 2 is equals to zero point.

2 power question mark i think we can take an lcm as 2 right. So when we take an lcm 2. That is zero point two! So friends, i think when we take lcms 2, this will be 3 and this will be 6 and this will be 1, so 3, plus 6, plus 1 right so 3, plus 6 plus 1, divided by and here it is denominator- is 2 great so as equals to 0.

2 power? Question mark so 0! 2 power, question, mark i, think 6, plus 3 plus 1 will be 10. 10 divided by 2 will be 5, so 0. 2 power 5 is equal to 0. 2 power question mark. So finally, we can say that answer for question number 15, that this question mark is equal to 5 question number 16, so 2 4, 0, 1 power 3 by 4 division, 1, divided by 343 i, think we need to find someone power? Something i’ve been convert, all the expression in terms of seven or something so i think this can, but in the seventh power for fencer seven power, four, so power 3/4 a division, so 1/3 forty three can be done as seven cube right, so division. Forty, nine power, someone by two i, think this forty nine can be done as seven square right, so seven square power 7 by 2. This is equals to seven power question mark so once we can cancel for and for similarly, we can cancel two one two, so this can be done as seven power three division. So once we can bring this denominator sound, / three to the numerator. That will be seven power, minus three right, so division, seven power, seven is equals to seven power question mark.

So this can be written as seven power 3? So minus of minus three will be plus three and the minus of seven right. So minus of someone is equal to 7/4 question mark. So three plus three will be six right, so seven power, 6, minus 7, is equal to seven power question mark, so six minus 1 will be minus one.

So, finally, this can be done as seven power minus one is equal to seven power question mark?

So finally, we got an answer for question number 16. That is question mark is equal to minus one question number 17, so 7. 2 power, 3 point 2 into 1, divided by 7 point 2 power. One point: six i think here x’s in terms of seven point two something so we need to convert all the expression into seven point two something right. So this can be written as 7 point 2 power, 3, point, 2 and similarly i think we can bring this denominator to the numerator fence. At one point: two power minus one point: six, so i think 51! 84 will be seven point two square, so here it is minus one point eight.

So similarly, this can written as 7 point 2 square power. Minus one point: 2 is equals to 7 point 2 power x, so this can written as 7 point 2 power, 3 point 2, so seven point: two power, minus 1 point 6, so when’s, 8, 1, point 8 into two will be three point six right, so this can be done as division of seven point! Two minus three point? Six! so seven point two minus two point: four is equal to seven point bollocks. So finally, we have converted all the expression in terms of 7! 2 i think we can use this technique. That is 3. 2 so multiplication. So here it is placed. So here it is minus one point six, so this can be done as 3! 2 minus one point: six, so division right, so minus of minus 3?

6 will be plus 3. 6 and similarly multiplication so plus into minus two point: four will be minus two point: four as equals to 7 point 2 power x. So once i think 3! 2 plus three point: six will be six point, eight right, so this can be written as six point. Eight. So minus of one point: six minus 2. 8 will be four, so is equal to 7 point 2 power, x, i, think six point? Eight minus four will be two point, eight? So finally, seven power, two point: eight is equal to sorry.

Seven point: two, seven point: two power: two point: eight will be 7 point: 2 power, x i think we can cancel some point two! So finally, we got an answer that is: x is equal to two point: eight, that is for question number 17 question number 18. So when 17 power 8 point 8 into 289 power, minus one point: four division, 1 divided by 17 power, minus one- is equal to 17 into 17 power question mark.

So once i think you know the question mark in terms of 17 for something? So we need to convert all the expression in terms of 17 right.

So this can be done as 17 power. 8 point 8. We know that 289 will be 17 square, so power minus one point: four i think we can bring this denominator to the numerator fence, so this can be done as 17 power one. This equals 217 power i think here it is one, and here it is x right. So this can, but in a 17 power x plus one i am just assuming that question mark is equal to x right.

So finally, this can be done as x plus one pin 17 power, x, plus one so 17 power. Eight point eight. So when we multiply this result on will be two point: eight right, so 17 power, minus 2. 8, so division 17 part 1, is equal to 17 power, x plus 1, so multiplication and division. That is addition and subtraction right, 17, power, 8. 8 so plus so plus into minus 2. 8! There is nothing will be minus 2. 8, so minus of 1 is equals to 17 power, x plus 1?

So finally, i think this will be 8 point: 8 minus 2.

8, the resultant will be 6, so 6 minus 1 will be 5, so 17 power 5 is equal to 17 power, x plus 1. So finally, we can say this, as so: when we cancel 17 and 17, the resultant will be 5 is equal to x, plus 1? So x is equal to 5 minus 1, so x is equal to 4, so friends? Finally, we got an answer that is: x is equal to 4 for question number 18 question number 19, so 10 power 7. 3. So let me keep this 10 power on point 3, as it is once 10 power, 7 point, 3 i think undred can be written as 10 square right, so 10 square power 4 point 1 5, so this can be written as similarly 10 cube power square, so 10 power 5 is equal to question mark into 10 power!

5 right.

So i think this can be done as 10 power, 7 point 3 division, i think this will be up? 8 power, 3 right, 8, point 3, so 10 power, 8 point 3, so into 10 power 3 into 2 will be 6, so plus 10 power. 5 is equal to question mark into 10 power 5? So when seven point three minus eight point, three, the resultant will be minus one, so 10 power minus 1 into 10 power 6? Here it is plus 10 power.

5 is equal to question mark into 10 power 5? So minus 1, plus 6 resultant, will be 10 power, 5 right so 10 power, 5, plus 10 power, 5, a sequence, 2 question mark into 10 power, 5, so i think 10 power 5 into 10 power, 5, i, think 10 power, 5, plus 10 power 5 will be 2, 10 power, 5 right so 2 into 10 power! 5 is equal to question mark into 10 power 5! So we can cancel 10 power, 5 10 power 5. So finally, we can say that question mark is equal to 2, so friends. Finally, we got an answer for question number 19. That is question mark is equal to 2?

So first we need to be careful that here it is place right, which is most important, where most of the students will make a mistake here they use to the sustain part, and that is exactly wrong right. So 10 power, 5 plus 10 perfect, the resultant will be 2 into 10 power, 5 question number 20, so 243 power n by 5 into 3 power, 2, n, plus 1, divided by 9 power n into 3 power, n minus 1. So once i think 243 right. We know that 3 power 4 will be 81, so 3 power 5 will be 243 friends.

This can be done as 3 power of 5 3 power.

5 will be 243, so power n by 5 so into 3 power, 2, n, plus 1, divided by + 9 power n, can be written as 3 square friends, so 3 square will be 9. So finally, this can be written as 3 power. 2 n into 3 power, n minus 1 is equal to question mark.

So i think we can cancel 5 1 5, so this can be written as 3 power n, so 3 power n into 3 power, 2 n plus 1 the water by similarly here it is 3 power, 2 n into 3 power, n minus 1 is equal to question, mark i, think a power m and a power influence. That is a power m plus n right? So this can be written as 3 power. So here it is n, so n, plus 2 n plus 1/3 power. Similarly, here it is a power m into a power n, so 2 power, 2, n plus n minus 1, is equal to question. Mark i think 2, n, plus n will 3 n plus 2 n will be 3 n, plus 1, divided by 3 power i! Similarly, here it is 2, n, plus n will be 3 and minus 1 is equal to question mark? So once i think this looks like a format call a power m divided by a power n. It will be a power m, minus m right so 3 power, 3, n, plus 1 minus of 3 n minus 1 is equal to question mark right.

So i think this can be written as so 3 power, 3, n, plus 1, so minus 3, n, plus 1, so minus 3, n plus 1 is equal to question mark! So when we cancel 3 young and riaan, the resultant will be 3 power, 1 plus 1, so this can be written as 3 square is equal to question mark. So finally, we can say that answer for our last equation that this question mark is equal to 9, so friends?

Finally, we have solved 20 different questions on the topics, earths and indices.

I hope that you have really enjoyed it? So friends, don’t forget to share this video to all your friends so that your friends can also learn this? Thank you so much for watching this video bye. .