Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 9 · 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.Write 630 in standard form as 6.3 × 10ⁿ. What is n?
2. 2.What is the value of (5/7)⁻¹? =
3. 3.What is the value of 3⁻² (as a fraction)? =
4. 4.What is the value of 2⁴? =
5. 5.Write (3⁵)² as a single power 3ⁿ. What is n?
6. 6.What is the value of 5² × 5⁻¹? =
7. 7.What is the value of 10² × 10⁻¹? =
8. 8.What is the value of 5² × 5⁻³? =
9. 9.What is the value of 5² × 5⁻⁵? =
10. 10.What is the value of 9²? =
11. 11.Write 5.1 × 10⁻³ as a decimal. =
12. 12.8.7 × 10⁷ =
13. 13.What is the value of 2¹ × 2⁻¹? =
14. 14.Write 9.2 × 10⁻⁴ as a decimal. =
15. 15.What is the value of 4³? =
16. 16.What is the value of 6²? =
17. 17.What is the value of 8⁴? =
18. 18.What is the value of 3²? =
19. 19.1.3 × 10⁶ =
20. 20.Write 8.8 × 10⁻² as a decimal. =
21. 21.What is the value of (3/8)⁻¹? =
22. 22.What is the value of 2¹¹? =
23. 23.4.5 × 10⁷ =
24. 24.4.4 × 10⁴ =
25. 25.Write 6⁶ × 6³ as a single power 6ⁿ. What is n?
26. 26.9.2 × 10² =
27. 27.Write 5.1 × 10⁻⁴ as a decimal. =
28. 28.Write 19,000 in standard form as 1.9 × 10ⁿ. What is n?
29. 29.What is the value of 2¹⁶? =
30. 30.Write (4³)² as a single power 4ⁿ. What is n?
31. 31.Write 9⁴ × 9⁴ as a single power 9ⁿ. What is n?
32. 32.What is the value of 2⁻⁶ (as a fraction)? =
33. 33.8.7 × 10³ =
34. 34.8.5 × 10⁶ =
35. 35.Write (3⁶)⁹ as a single power 3ⁿ. What is n?
36. 36.What is the value of 5²? =
37. 37.Write 4⁸ × 4⁶ as a single power 4ⁿ. What is n?
38. 38.What is the value of 3⁻⁴ (as a fraction)? =
39. 39.Write 7 × 10⁻¹ as a decimal. =
40. 40.Write 8.7 × 10⁻⁴ as a decimal. =

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