Class 8 - Exponents & Powers Worksheet 3

1. Find x (²⁄₉)⁴ × (²⁄₉)^-7 = (²⁄₉)^2x-1.

a) -2 b) -7
c) 1 d) -1

2. Find the value of (3^-1 × 4^-1) ÷ 2^-2.

a) ¹⁄₆ b) ¹⁄₃
c) 3 d) ¹⁄₁₂

3. Find the value of (¹⁄₄)^-2 + (¹⁄₅)^-1 + (¹⁄₃)^-1.

a) 24 b) ¹⁄₂₃
c) ¹⁄₂₄ d) None of these

4. Evaluate (-4)^-3.

a) ¹⁄₆₄ b) 64
c) ^-1⁄₆₄ d) None of these

5. Evaluate (^-2⁄₅)^-5.

a) ³²⁄₃₁₂₅ b) ^-32⁄₃₁₂₅
c) 3125 d) ^-3125⁄₃₂

6. The value of (7^-1−6^-1)^-1 − (5^-1 − 3^-1)^-1 is _____.

a) 63¹⁄₂ b) 23¹⁄₂
c) 42¹⁄₃ d) None of these

7. For a non-zero integer n, {(n³)^-4}⁵ is equal to _____.

a) n^-20 b) n^-60
c) n^-7 d) n⁶⁰

8. Evaluate {(^-1⁄₄)³}^-2, we get _____.

a) ¹⁄₄₀₉₆ b) 4024
c) 4096 d) ¹⁄₄₀₂₄

9. Evaluate {(⁵⁄₄)^-1 − (⁵⁄₃)^-2}^-1, then get _____.

a) ¹¹⁄₂₅ b) 25
c) 3²⁄₁₁ d) 2³⁄₁₁

10. For any two non-zero rational numbers R and S, R⁵ ÷ S⁵ is equal to _____.

a) (R ÷ S)⁰ b) (R÷S)¹⁰
c) (R ÷ S)⁵ d) None of these

11. By what number should (-8)^-1 be multiplied, so that the product become (18)^-1?

a) ¹⁄₉ b) ^-4⁄₉
c) ^-2⁄₉ d) ⁴⁄₉

12. Evaluate (⁹⁄₅)^-2 × (⁵⁄₉)^-3 × (⁵⁄₉)⁰, then get _____.

a) ⁹⁄₅ b) 9
c) ⁵⁄₉ d) 5

13. Convert 47.36 into standard form.

a) 4.736 × 10² b) 4.736 × 10
c) 0.4736000 d) 47360

14. Convert 3.2356 × 10⁷ to usual form.

a) 32356000 b) 3.2356000
c) 32.3560000 d) 323560000000

15. Find the value of 'x' for {(^-2⁄₅)²}^x × (^-5⁄₂)^-1 = ^-8⁄₁₂₅.

a) -2 b) -5
c) 2 d) ⁴⁄₂₅

16. Simplify
Exponents and Powers Worksheet
a) -1 b) ¹⁄₂
c) 2 d) 1

17. Find the multiplicative inverse of (7⁰ + 4⁰) (4⁰ − 3⁰).

a) 1 b) 0
c) Does not exist d) -1

18. Evaluate ^{p^m}⁄_(p^m+pⁿ) + ¹⁄_(p^m-n+1), we get _____.

a) ^p⁄_q b) 1
c) -2 d) -1

19. Find the value of m ,if (^{3^-m×9^2m+1×27^2m)}⁄_9^3m = ¹⁄₈₁.

a) -3 b) 9
c) -2 d) ^-2⁄₃

20. If (²⁵⁄₁₆)^-4 × (⁴⁄₅)³ = (^m⁄_n)^-2.

a) ¹⁶⁄₂₅ b) ⁶⁴⁄₁₂₅
c) ⁴⁄₅ d) ²⁵⁄₁₆

If you want to download the above worksheet, please click below link.

Exponents And Powers Worksheet-3Download the pdf

Answer Sheet

Exponents-And-Powers-AnswerDownload the pdf