#### Chapter 2 Exponents of Real Numbers R.D. Sharma Solutions for Class 9th Math Exercise 2.2

Exercise 2.2

1. Assuming that x, y, z are positive real numbers, simplify each of the following:

Solution

We have to simplify the following, assuming that x,y,z are positive real numbers.

2. Simplify

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3. Prove That

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(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(ix)

4. Show that

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(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Level - 2

5.

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6.

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7.

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8.
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9.
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10.  Find x in following
(iii) (3/5)x(5/3)x = 125/27
(iv) 5x-2×32x-3 = 13
(v) 2x-7×5x-4 = 125/
(vii) 52x+3 = 1

Solution

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

11. If x = 21/3+32/3 show that x3 - 6x = 6

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12. Determine (8xx)x, If 9x+2 = 240 + 9x

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13. 3x+1 = 9x-2 Find the value of 21+x

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14. If 34x = 81-1 and 101/y = 0.0001, find the value of 2-x+4y

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15. If 53x = 125, and 10= 0.001, find x and y.

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16. Solve the following equations:
(i) 3x+1 = 27×34

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18. If a and b are different positive primes such that

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(i)

(ii)

19. If 2x×3y×5= 2160, find x, y and z. Hence, compute the value of 3x×2-y×5-z

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20. If 1176 = 2a×3b×7find a,b,c and compute 2a×3b×7-c

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21. Simplify

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(i)

(ii)

22.  Show that

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23.
(i)

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(i)

(ii)