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#### 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) X