Exponents And Powers Multiple Choice Questions (CBSE & ICSE)

Last Updated: 30 November 2023

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

In this article, there are 50 Multiple Choice Questions that will help You boost Your IQ and help you Score Better.

Solve these Multiple Choice Questions and Improve Your Exam Performance.

Exponents And Powers

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1. The Simplified Value of (2.3ⁿ⁺¹ + 7.3^n-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 3^x-1 + 3^x+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 2^x+1 = 8^x, 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 = 5^x, 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 3^x+y = 81 and 81^x-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 5^x= 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. (x^p/x^q)^r x (x^q/x^r)^p x (x^r/x^p)^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. (x^a+b/x^c)^a-b x (x^b+c/x^a)^b-c x (x^c+a/x^b)^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. (x^a+b)^a-b x (x^b+c)^b-c x (x^c+a)^c-a =?
a) 11
b) 1
c) 23
d) 9

28. (x^a/x^-b)^a-b x (x^b/x^-c)^b-c x (x^c/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) a^x-y b^y-z c^z-x
b) a^x-y b^y-x c^z-y
c) a^x-z b^y-x c^z-y
d) a^x-z b^x-y c^z-y

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

37. What is the Value of (1/1+x^a-b) + (1/1+x^b-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) 10^1/10
c) 10^-10
d) 1/10¹⁰

43. p^(-2/5) x p^(2/5) = ?
a) p²
b) 1
c) p^2/5
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: (x^a/x^b)^a+b x (x^b/x^c)^b+c x (x^c/x^a)^c+a ?
a) x^b
b) 1
c) x^a+b
d) (x^a)^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. √x^p-q x √x^q-r x √x^r-p = ?
a) 1
b) ∞
c) 0
d) p-q

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

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