R.D. Sharma Solutions Class 9th: Ch 2 Exponents of Real Numbers Exercise 2.2

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

Solution







 3. Prove That


Solution 

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)


(ix)

4. Show that

Solution

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Level - 2

5.

Solution


6.

Solution


7.

Solution


8.
Solution


9.
Solution


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

Solution


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

Solution


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

Solution


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

Solution 


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

Solution


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

Solution







Solution


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

Solution

(i)

(ii)

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

Solution


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

Solution


21. Simplify

Solution

(i)

(ii)

22.  Show that

Solution


23.
(i)

Solution 

(i)

(ii)

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