Class 8 - Exponents & Powers Worksheet 1

1. The multiplicative inverse of (³⁄₄)² is not equal to (⁴⁄₃)². Mark True/False.

a) True b) False

2. (²⁄₅)^-2 × (²⁄₅)⁵ × = (²⁄₅)¹⁰. Mark true/ false.

a) True b) False

3. The multiplicative inverse of (-3)^-2 is (-3)^-2. Mark True/False.

a) False b) True

4. 123.35 = 1 × 10² + 2 × 10¹ + 3 × 10⁰ + 3 × 10^-1 + 5 × 10^-2. Mark True /False

a) False b) True

5. The value of ¹⁄_7^-2 is equal to 49. Mark True /False.

a) True b) False

6. The expression for 9^-3 as power with the base 3 is 3⁶. Mark True /False.

a) False b) True

7. p^m = ¹⁄_p^-m. Mark True / False.

a) False b) True

8. The exponential form of (3)⁴ × (⁵⁄₃)⁴ is 5⁴.

a) True b) False

9. p^m × qⁿ = (pq)^mn. Mark True /False.

a) True b) False

10. ^{A^m}⁄_{B^m = (^A⁄_B)^m. Mark True / False.

a) True b) False}

11. Multiplicative inverse of 10⁹ is _____.

a) 10^-9 b) (¹⁄₁₀)^-9
c) 10⁹ d) None of these

12. 7⁵ × 7^-5 =____.

a) 0 b) 1
c) 7¹⁰ d) 7^-25

13. The expression of very small numbers in standard form by using ___exponents.

a) Positive b) Both a & c
c) Negative d) None of these

14. The value of (7^-1 − 9^-1)^-1 − (3^-1 − 5^-1)^-1 is _____.

a) 24 b) 44
c) -24 d) -48

15. The standard form of 0.000034 is _____.

a) 34 × 10⁵ b) 3.4 × 10^-5
c) 340 × 10⁵ d) 0.34 × 10⁵

16. Which of following is same as (^-5⁄₆)^-3?

a) (^-6⁄₅)^-3 b) (^-6⁄₅)³
c) -(⁵⁄₆)³ d) (⁵⁄₆)³

17. The value of (-3)^2×3−3 is _____.

a) 27 b) 81
c) -81 d) -27

18. The multiplicative inverse of (^-7⁄₉)⁹⁹ is _____.

a) (^-7⁄₉)^-99 b) (⁹⁄₇)⁹⁹
c) (⁷⁄₉)^-99 d) (⁹⁄₇)^-99

19. If 'y' is any non-zero integer, then y^-1 is equal to _____.

a) y b) ¹⁄_y
c) -y d) ^-1⁄_y

20. On dividing 11⁵ by ____, we get 11. Fill in the blanks by choosing correct option.

a) 11⁴ b) 11³
c) 11⁰ d) None of these

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

Exponents And Powers Worksheet-1Download the pdf

Answer Sheet

Exponents-And-Powers-AnswerDownload the pdf