# Exponents And Powers Multiple Choice Questions (CBSE & ICSE)

Last Updated: 11 May 2022

Exponents And Powers is a Very Important Chapter in the ICSE and CBSE Mathematics Syllabus.

Solve these Multiple Choice Questions and Improve Your Exam Performance.

## Exponents And Powers

1. The Simplified Value of (2.3n+1 + 7.3n-1) / {3n+2 – 2(1/3)1-n} is?
a) 2
b) 3
c) 1
d) -2

2. If (25)x = (125)y then x : y equals?
a) 1:2
b) 4:3
c) 2:3
d) 3:2

3. If (x/y)n-1 = (y/x)n-3, What is the value of n?
a) 1/3
b) 2
c) 7/2
d) 3

4. If 3x-1 + 3x+1 = 90 then x equals to?
a) 1
b) 2
c) 3
d) 4

5. What is the value of n if 9n + 9n + 9n = 32013 ?
a) 1008
b) 1006
c) 2006
d) 2009

6. If 2x+1 = 8x, then x equals?
a) 1/3
b) 1/2
c) 2/3
d) 3/1

7. If (25)7.5 x (5)2.5 ÷ (125)1.5 = 5x, What is the value of x?
a) 12
b) 17
c) 19
d) 13

8. If (0.04)2 ÷ (0.008) x (0.2)6 = (0.2)x, find x?
a) 17
b) 16
c) 7
d) 6

9. (1000)12 ÷ (10)30 = ?
a) (100)2
b) (1000)2
c) (10)2
d) (10000)2

10. From the following which one is greatest?
a) (0.01)1/2
b) (0.2)2
c) 1/100
d) (0.008)1/3

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11. If 3x+y = 81 and 81x-y = 38, what is the value of x and y?
a) 1,3
b) 3,2
c) 2,3
d) 3,1

12. Which is the same as (-5/7)-7 ?
a) -(5/7)-7
b) (5/7)-7
c) (-7/5)7
d) (7/5)7

13. (64)-1/2 – (-32)-4/5 = ?
a) 3/8
b) 1/16
c) 1/8
d) 3/16

14. The value of (8-1-9-1)-1 ÷ (4-1-9-1)-1 ?
a) 20
b) 25
c) 5
d) 10

15. The Value of [2-3(2-3)-1]-1 ?
a) 1/5
b) -1/5
c) 2/5
d) 3/5

16. Which of the following values are equal?
I. 50 II. 15 III. 05 IV. 51
a) I and II
b) II and III
c) I and IV
d) I and III

17. If 5x= 3125 then the value of 5(x-3) is?
a) 75
b) 625
c) 25
d) 125

18. The value of (256)5/4 is?
a) 9084
b) 1024
c) 1032
d) 1202

19. The value of 27-2/3 lies between?
a) 2 and 3
b) 0 and 1
c) 1 and 2
d) 4 and 3

20. The value of (32/243)-4/5 ?
a) 81/16
b) 16/18
c) 16/81
d) 81/61

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21. Solve: √(y3/x) x √(y/x)
a) x3/y
b) y3/x
c) y2/x
d) x2/y

22. (xp/xq)r x (xq/xr)p x (xr/xp)q =?
a) 2
b) 1
c) 11
d) 12

23. Solve: [{2p-1q2r}]-2
a) p6/64q8r6
b) p6/64q6r6
c) p6/64q12r6
d) p4/64q12r6

24. (xa+b/xc)a-b x (xb+c/xa)b-c x (xc+a/xb)c-a =?
a) 4
b) 3
c) 2
d) 1

25. [(3p2qr-2) / (2p-1q3)]2 ÷ (2p3r)-1 =?
a) 9p6/2q2r
b) 9p6/2q4r
c) 9p9/2q4r3
d) 9p9/2q2r3

26. Find the Value of X in [{(2/5)2}4]x+2 = [{(2/5)-2}(x-1)]-3 ?
a) -13
b) -11
c) 11
d) 13

27. (xa+b)a-b x (xb+c)b-c x (xc+a)c-a =?
a) 11
b) 1
c) 23
d) 9

28. (xa/x-b)a-b x (xb/x-c)b-c x (xc/x-a)c-a =?
a) 1
b) 3
c) 5
d) 7

29. Find the Value of X in (-3/11)x+5 ÷ (-3/11)-2x+3 = (-3/11)2x-5 x [(-3/11)-2](x+4) ?
a) -7
b) -11
c) -5
d) -6

30. (81)-1 x 3-5 x 39 x (64)5/6 x (∛3)6 =?
a) 288
b) 299
c) 388
d) 188

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31. (16/625)1/4 =?
a) 3/5
b) 2/5
c) 5/3
d) 5/2

32. (81/16)-1/4 =?
a) 2/3
b) 3/2
c) 4/3
d) 3/4

33. (64)2/3 + ∛125 + 30 + (1/2-5) + (27)-2/3 x (25/9)-1/2 =?
a) 54(15/1)
b) 54(15/3)
c) 54(1/15)
d) 54(1/5)

34. {a7+2n (a2)3n+2} / (a4)2n+3 =?
a) 3/a
b) a/2
c) 2/a
d) 1/a

35. (ab)y-z (bc)z-x (ca)x-y =?
a) ax-y by-z cz-x
b) ax-y by-x cz-y
c) ax-z by-x cz-y
d) ax-z bx-y cz-y

36. What is the value of {x2n+3 x(2n+1)(n+2)} / {(x3)2n+1 xn(2n+1)} ?
a) x4
b) x3
c) x2
d) x1

37. What is the Value of (1/1+xa-b) + (1/1+xb-a)?
a) 1/2
b) 2
c) 1
d) 2/3

38. What is the value of (-5)-3?
a) -1/95
b) -1/225
c) -1/125
d) -1/75

39. 1/512 expressed as a power with base 8 is?
a) 8-3
b) 8-2
c) 8-6
d) 8-8

40. The value of (1/2)-2 + (1/3)-2 + (1/4)-2 is?
a) 59
b) 49
c) 39
d) 29

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41. If 3.3n = 3, then the value of n is?
a) ∞
b) 0
c) 1
d) 1/2

42. What is the Multiplicative Inverse of 1010?
a) 1010
b) 101/10
c) 10-10
d) 1/1010

43. p(-2/5) x p(2/5) = ?
a) p2
b) 1
c) p2/5
d) p-2/5

44. (50 + 60 + 70) =?
a) 1
b) 0
c) 3
d) 18

45. What is the value of n in 5-5 x 52n+1= 513 ÷ 57?
a) 7
b) 9
c) 13
d) 5

46. Solve: (xa/xb)a+b x (xb/xc)b+c x (xc/xa)c+a ?
a) xb
b) 1
c) xa+b
d) (xa)b

47. Evaluate: (l-4 x m3 x n-2 x z6) / (n3 x l-1 x z0 x m-2)?
a) m4z6/n4l3
b) m5z6/n5l3
c) m0z6/n4l3
d) m5z6/n3l-2

48. Simplify: {9-2 x 35 x (5-2)3} / {(3-3)4 x 54} ?
a) 313/510
b) 3-3/510
c) 35/510
d) 312/510

49. √xp-q x √xq-r x √xr-p = ?
a) 1
b) ∞
c) 0
d) p-q

50. Find the value of n in {x2n-3 x (x2)n+1 / (x4)-3} = (x3)3 ÷ (x6)-3 ?
a) 1
b) 2
c) 3
d) 4