Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 422 · 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. 1.2.8 × 10⁵ =
2. 2.What is the value of 3⁻³ (as a fraction)? =
3. 3.Write 7,800 in standard form as 7.8 × 10ⁿ. What is n?
4. 4.Write 3.9 × 10⁻² as a decimal. =
5. 5.Write 9⁹ × 9⁸ as a single power 9ⁿ. What is n?
6. 6.What is the value of 10⁴? =
7. 7.What is the value of 2¹ × 2⁻³? =
8. 8.What is the value of 7⁻³ (as a fraction)? =
9. 9.Write 9¹⁰ ÷ 9² as a single power 9ⁿ. What is n?
10. 10.Write 4.3 × 10⁻⁴ as a decimal. =
11. 11.Write 4.1 × 10⁻¹ as a decimal. =
12. 12.Write 7.9 × 10⁻³ as a decimal. =
13. 13.Write 8² × 8⁹ as a single power 8ⁿ. What is n?
14. 14.Write 9.2 × 10⁻¹ as a decimal. =
15. 15.What is the value of 6⁵? =
16. 16.What is the value of 5³ × 5⁻⁴? =
17. 17.Write 8⁵ ÷ 8² as a single power 8ⁿ. What is n?
18. 18.What is the value of 3¹ × 3⁻¹? =
19. 19.6.8 × 10² =
20. 20.What is the value of 5² × 5⁻⁵? =
21. 21.What is the value of 6⁻² (as a fraction)? =
22. 22.3.4 × 10⁴ =
23. 23.What is the value of 3⁵ × 3⁻³? =
24. 24.What is the value of 2¹⁴? =
25. 25.Write (3⁹)⁴ as a single power 3ⁿ. What is n?
26. 26.What is the value of (3/8)⁻¹? =
27. 27.What is the value of 3³? =
28. 28.Write 5.6 × 10⁻² as a decimal. =
29. 29.What is the value of 2¹ × 2⁻¹? =
30. 30.Write 9.6 × 10⁻¹ as a decimal. =
31. 31.What is the value of 7⁵? =
32. 32.8 × 10⁶ =
33. 33.2.1 × 10² =
34. 34.What is the value of 5⁷? =
35. 35.What is the value of 4⁶? =
36. 36.3.7 × 10⁵ =
37. 37.Write (6⁴)⁸ as a single power 6ⁿ. What is n?
38. 38.Write 7.3 × 10⁻² as a decimal. =
39. 39.What is the value of (5/9)⁻¹? =
40. 40.What is the value of 7⁴? =

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