Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 808 · 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 3³ × 3⁻³? =
2. 2.Write 2.2 × 10⁻⁴ as a decimal. =
3. 3.Write 9.9 × 10⁻¹ as a decimal. =
4. 4.What is the value of 6³? =
5. 5.What is the value of 3³ × 3⁻¹? =
6. 6.Write 9.9 × 10⁻³ as a decimal. =
7. 7.What is the value of 4⁵? =
8. 8.1.3 × 10⁶ =
9. 9.What is the value of 2²? =
10. 10.Write 4.9 × 10⁻¹ as a decimal. =
11. 11.What is the value of 3³? =
12. 12.What is the value of 4⁴? =
13. 13.2.3 × 10⁴ =
14. 14.What is the value of 5³? =
15. 15.Write 1.1 × 10⁻¹ as a decimal. =
16. 16.What is the value of (1/9)⁻¹? =
17. 17.What is the value of 3⁻¹ (as a fraction)? =
18. 18.What is the value of 2¹⁶? =
19. 19.Write 7.4 × 10⁻⁴ as a decimal. =
20. 20.What is the value of 10⁵ × 10⁻¹? =
21. 21.What is the value of 5² × 5⁻⁶? =
22. 22.Write 5³ × 5³ as a single power 5ⁿ. What is n?
23. 23.Write 3² × 3⁴ as a single power 3ⁿ. What is n?
24. 24.What is the value of 5²? =
25. 25.Write (8⁷)⁸ as a single power 8ⁿ. What is n?
26. 26.What is the value of 2¹⁵? =
27. 27.Write 2,000 in standard form as 2 × 10ⁿ. What is n?
28. 28.What is the value of (2/3)⁻²? =
29. 29.Write 7.6 × 10⁻³ as a decimal. =
30. 30.What is the value of 5⁶ × 5⁻⁵? =
31. 31.What is the value of 3² × 3⁻⁶? =
32. 32.What is the value of 8⁵? =
33. 33.What is the value of 2⁹? =
34. 34.What is the value of (2/3)⁻¹? =
35. 35.Write 9⁸ ÷ 9⁶ as a single power 9ⁿ. What is n?
36. 36.Write 4.2 × 10⁻¹ as a decimal. =
37. 37.What is the value of 2⁴ × 2⁻²? =
38. 38.Write 6.6 × 10⁻⁴ as a decimal. =
39. 39.Write 5.4 × 10⁻⁴ as a decimal. =
40. 40.What is the value of 2¹³? =

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