Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 495 · 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. 1.6.8 × 10⁵ =
2. 2.Write 5.1 × 10⁻¹ as a decimal. =
3. 3.5.8 × 10⁶ =
4. 4.What is the value of 3³? =
5. 5.3.3 × 10³ =
6. 6.3.4 × 10⁷ =
7. 7.Write 7,00,000 in standard form as 7 × 10ⁿ. What is n?
8. 8.What is the value of 7⁻³ (as a fraction)? =
9. 9.9.6 × 10⁶ =
10. 10.What is the value of (6/7)⁻¹? =
11. 11.What is the value of 2⁸? =
12. 12.What is the value of 2⁵ × 2⁻⁵? =
13. 13.5.1 × 10⁷ =
14. 14.Write 7⁶ × 7³ as a single power 7ⁿ. What is n?
15. 15.What is the value of 6⁻¹ (as a fraction)? =
16. 16.What is the value of 2¹ × 2⁻⁶? =
17. 17.Write 8.6 × 10⁻³ as a decimal. =
18. 18.Write 3⁶ ÷ 3² as a single power 3ⁿ. What is n?
19. 19.What is the value of 2¹⁰? =
20. 20.Write 8.7 × 10⁻¹ as a decimal. =
21. 21.What is the value of 3² × 3⁻³? =
22. 22.5.4 × 10⁵ =
23. 23.What is the value of 3¹ × 3⁻²? =
24. 24.What is the value of (1/9)⁻²? =
25. 25.Write 2.1 × 10⁻¹ as a decimal. =
26. 26.What is the value of (1/4)⁻¹? =
27. 27.Write 3¹³ ÷ 3⁴ as a single power 3ⁿ. What is n?
28. 28.What is the value of 2³ × 2⁻³? =
29. 29.What is the value of 3⁻¹ (as a fraction)? =
30. 30.What is the value of 3⁻⁶ (as a fraction)? =
31. 31.Write 4.1 × 10⁻¹ as a decimal. =
32. 32.Write 7.2 × 10⁻¹ as a decimal. =
33. 33.What is the value of (1/6)⁻¹? =
34. 34.What is the value of 5² × 5⁻⁶? =
35. 35.What is the value of 5⁻² (as a fraction)? =
36. 36.Write 2⁹ ÷ 2³ as a single power 2ⁿ. What is n?
37. 37.Write 500 in standard form as 5 × 10ⁿ. What is n?
38. 38.Write 5.1 × 10⁻⁴ as a decimal. =
39. 39.What is the value of 2¹¹? =
40. 40.What is the value of 7³? =

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