Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 744 · 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. 1.6.1 × 10⁷ =
2. 2.Write 2.7 × 10⁻¹ as a decimal. =
3. 3.What is the value of 5⁵ × 5⁻⁶? =
4. 4.What is the value of 2¹ × 2⁻⁵? =
5. 5.What is the value of (2/5)⁻²? =
6. 6.What is the value of (1/9)⁻¹? =
7. 7.3.8 × 10⁷ =
8. 8.What is the value of 3³? =
9. 9.What is the value of (5/8)⁻²? =
10. 10.What is the value of 5³? =
11. 11.Write 6.1 × 10⁻³ as a decimal. =
12. 12.Write 8¹⁷ ÷ 8⁹ as a single power 8ⁿ. What is n?
13. 13.1.6 × 10⁶ =
14. 14.What is the value of 4⁻¹ (as a fraction)? =
15. 15.What is the value of 10⁴? =
16. 16.What is the value of (7/8)⁻¹? =
17. 17.Write 7.3 × 10⁻¹ as a decimal. =
18. 18.8.3 × 10⁷ =
19. 19.What is the value of 3¹ × 3⁻³? =
20. 20.What is the value of 3² × 3⁻¹? =
21. 21.Write 440 in standard form as 4.4 × 10ⁿ. What is n?
22. 22.What is the value of 5⁶? =
23. 23.Write (4⁸)⁷ as a single power 4ⁿ. What is n?
24. 24.What is the value of 6⁻² (as a fraction)? =
25. 25.Write 6⁶ ÷ 6³ as a single power 6ⁿ. What is n?
26. 26.What is the value of 2⁷? =
27. 27.Write (7²)² as a single power 7ⁿ. What is n?
28. 28.What is the value of 2² × 2⁻⁵? =
29. 29.What is the value of (3/5)⁻¹? =
30. 30.Write 1.5 × 10⁻¹ as a decimal. =
31. 31.What is the value of 5⁴ × 5⁻⁵? =
32. 32.4.9 × 10⁷ =
33. 33.Write 9.8 × 10⁻⁴ as a decimal. =
34. 34.What is the value of (2/5)⁻¹? =
35. 35.What is the value of 7³? =
36. 36.What is the value of 10² × 10⁻³? =
37. 37.What is the value of 3⁸? =
38. 38.Write 1.9 × 10⁻¹ as a decimal. =
39. 39.Write (2⁴)⁸ as a single power 2ⁿ. What is n?
40. 40.What is the value of (1/8)⁻²? =

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