Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 92 · 40 sums

The method (Same base, work the powers): aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁰ = 1. a⁻ⁿ = 1/aⁿ, and (a/b)⁻ⁿ = (b/a)ⁿ. Standard form: one digit before the point × a power of 10 — 4500000 = 4.5 × 10⁶. × 10⁻ⁿ moves the decimal point n places to the left: 2.5 × 10⁻³ = 0.0025.

1. 1.What is the value of 9³? =
2. 2.What is the value of (3/8)⁻¹? =
3. 3.What is the value of 3³? =
4. 4.2.6 × 10² =
5. 5.What is the value of 10⁵ × 10⁻³? =
6. 6.What is the value of (2/9)⁻²? =
7. 7.Write 3⁹ × 3³ as a single power 3ⁿ. What is n?
8. 8.What is the value of 5³? =
9. 9.9.5 × 10⁷ =
10. 10.5.2 × 10³ =
11. 11.What is the value of (7/8)⁻¹? =
12. 12.Write (9⁹)⁴ as a single power 9ⁿ. What is n?
13. 13.Write 3 × 10⁻² as a decimal. =
14. 14.Write 5.5 × 10⁻⁴ as a decimal. =
15. 15.What is the value of 5² × 5⁻⁶? =
16. 16.1.4 × 10⁵ =
17. 17.What is the value of 8⁴? =
18. 18.Write 5⁷ ÷ 5⁵ as a single power 5ⁿ. What is n?
19. 19.Write 5.6 × 10⁻⁴ as a decimal. =
20. 20.What is the value of 2¹³? =
21. 21.Write 5⁵ × 5⁵ as a single power 5ⁿ. What is n?
22. 22.What is the value of 2¹ × 2⁻²? =
23. 23.What is the value of 2¹ × 2⁻¹? =
24. 24.Write 3¹¹ ÷ 3⁵ as a single power 3ⁿ. What is n?
25. 25.What is the value of 7³? =
26. 26.What is the value of 7²? =
27. 27.Write 1.1 × 10⁻² as a decimal. =
28. 28.What is the value of 3⁷? =
29. 29.Write 6⁸ × 6⁴ as a single power 6ⁿ. What is n?
30. 30.5.7 × 10² =
31. 31.What is the value of 2⁴ × 2⁻⁵? =
32. 32.Write 9⁷ × 9⁶ as a single power 9ⁿ. What is n?
33. 33.Write 3¹⁰ ÷ 3⁸ as a single power 3ⁿ. What is n?
34. 34.What is the value of 2¹²? =
35. 35.What is the value of (3/5)⁻²? =
36. 36.What is the value of 5⁵? =
37. 37.What is the value of 2¹ × 2⁻⁵? =
38. 38.What is the value of (1/4)⁻¹? =
39. 39.Write 5³ × 5⁸ as a single power 5ⁿ. What is n?
40. 40.Write 5⁶ × 5⁵ as a single power 5ⁿ. What is n?

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