Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 144 · 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 8⁻³ (as a fraction)? =
2. 2.What is the value of 9⁵? =
3. 3.Write 5.8 × 10⁻⁴ as a decimal. =
4. 4.What is the value of 2⁵? =
5. 5.6.5 × 10⁵ =
6. 6.5.4 × 10² =
7. 7.What is the value of 9²? =
8. 8.What is the value of 10¹ × 10⁻⁵? =
9. 9.7.6 × 10⁴ =
10. 10.Write 67,000 in standard form as 6.7 × 10ⁿ. What is n?
11. 11.What is the value of 3⁹? =
12. 12.Write 7¹² ÷ 7³ as a single power 7ⁿ. What is n?
13. 13.What is the value of 2¹ × 2⁻²? =
14. 14.Write 3⁸ × 3⁵ as a single power 3ⁿ. What is n?
15. 15.What is the value of (3/5)⁻¹? =
16. 16.Write 1,60,000 in standard form as 1.6 × 10ⁿ. What is n?
17. 17.Write 6⁴ × 6⁹ as a single power 6ⁿ. What is n?
18. 18.What is the value of 10⁵ × 10⁻³? =
19. 19.What is the value of 3⁻² (as a fraction)? =
20. 20.3.3 × 10⁶ =
21. 21.Write 7¹² ÷ 7⁷ as a single power 7ⁿ. What is n?
22. 22.Write 5.2 × 10⁻¹ as a decimal. =
23. 23.What is the value of 2⁶? =
24. 24.Write 8.6 × 10⁻² as a decimal. =
25. 25.What is the value of 10⁴? =
26. 26.What is the value of (7/8)⁻¹? =
27. 27.3.1 × 10⁵ =
28. 28.What is the value of 2¹¹? =
29. 29.What is the value of 5³? =
30. 30.What is the value of 5² × 5⁻³? =
31. 31.What is the value of 2³? =
32. 32.What is the value of 3⁸? =
33. 33.What is the value of 3³ × 3⁻⁴? =
34. 34.What is the value of 5³ × 5⁻¹? =
35. 35.What is the value of 4⁻¹ (as a fraction)? =
36. 36.What is the value of (1/5)⁻¹? =
37. 37.What is the value of 7⁵? =
38. 38.What is the value of 2⁷? =
39. 39.What is the value of (5/6)⁻¹? =
40. 40.What is the value of 7³? =

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