Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 64 · 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 4³? =
2. 2.Write 9⁹ ÷ 9⁴ as a single power 9ⁿ. What is n?
3. 3.What is the value of 10⁶ × 10⁻²? =
4. 4.3.8 × 10⁶ =
5. 5.What is the value of 8⁻² (as a fraction)? =
6. 6.4.5 × 10⁵ =
7. 7.3.1 × 10⁷ =
8. 8.Write 3.5 × 10⁻⁴ as a decimal. =
9. 9.2.7 × 10⁷ =
10. 10.Write 110 in standard form as 1.1 × 10ⁿ. What is n?
11. 11.3.8 × 10⁴ =
12. 12.Write 9.9 × 10⁻³ as a decimal. =
13. 13.What is the value of (1/8)⁻²? =
14. 14.What is the value of (2/7)⁻²? =
15. 15.What is the value of 3⁴? =
16. 16.Write 98,000 in standard form as 9.8 × 10ⁿ. What is n?
17. 17.Write 4³ × 4³ as a single power 4ⁿ. What is n?
18. 18.What is the value of 6⁴? =
19. 19.Write (5⁸)³ as a single power 5ⁿ. What is n?
20. 20.What is the value of 10⁻¹ (as a fraction)? =
21. 21.What is the value of 3⁵ × 3⁻¹? =
22. 22.Write 7.5 × 10⁻² as a decimal. =
23. 23.What is the value of 3⁹? =
24. 24.Write (2³)⁶ as a single power 2ⁿ. What is n?
25. 25.7.8 × 10⁴ =
26. 26.What is the value of 7²? =
27. 27.What is the value of 9²? =
28. 28.5.7 × 10² =
29. 29.Write 7.2 × 10⁻² as a decimal. =
30. 30.What is the value of 2¹⁶? =
31. 31.Write 1.7 × 10⁻¹ as a decimal. =
32. 32.What is the value of 9⁻³ (as a fraction)? =
33. 33.What is the value of 2⁵ × 2⁻²? =
34. 34.Write 81,000 in standard form as 8.1 × 10ⁿ. What is n?
35. 35.Write 2.1 × 10⁻³ as a decimal. =
36. 36.What is the value of 5⁶ × 5⁻⁶? =
37. 37.Write 2¹² ÷ 2⁴ as a single power 2ⁿ. What is n?
38. 38.What is the value of 10² × 10⁻⁶? =
39. 39.What is the value of 2¹¹? =
40. 40.Write 1.8 × 10⁻¹ as a decimal. =

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