Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 73 · 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 4.5 × 10⁻² as a decimal. =
2. 2.9.1 × 10³ =
3. 3.What is the value of 10¹ × 10⁻⁵? =
4. 4.What is the value of 2⁻⁸ (as a fraction)? =
5. 5.Write 6.7 × 10⁻¹ as a decimal. =
6. 6.Write 2.6 × 10⁻² as a decimal. =
7. 7.Write 7⁶ × 7⁵ as a single power 7ⁿ. What is n?
8. 8.3.1 × 10⁶ =
9. 9.What is the value of (3/8)⁻¹? =
10. 10.Write (8⁹)⁸ as a single power 8ⁿ. What is n?
11. 11.5.5 × 10⁷ =
12. 12.What is the value of 2¹¹? =
13. 13.5.7 × 10⁷ =
14. 14.What is the value of 3⁶ × 3⁻¹? =
15. 15.Write 9.9 × 10⁻³ as a decimal. =
16. 16.What is the value of 2⁴? =
17. 17.3.2 × 10⁴ =
18. 18.Write 5⁷ × 5⁹ as a single power 5ⁿ. What is n?
19. 19.Write 4.5 × 10⁻³ as a decimal. =
20. 20.Write 5² × 5⁶ as a single power 5ⁿ. What is n?
21. 21.What is the value of 5⁵ × 5⁻²? =
22. 22.Write (4⁴)⁸ as a single power 4ⁿ. What is n?
23. 23.What is the value of 5⁵ × 5⁻³? =
24. 24.Write 5⁶ × 5⁵ as a single power 5ⁿ. What is n?
25. 25.What is the value of 2⁻² (as a fraction)? =
26. 26.3.8 × 10⁷ =
27. 27.Write 2,80,00,000 in standard form as 2.8 × 10ⁿ. What is n?
28. 28.9.1 × 10⁴ =
29. 29.Write 2.4 × 10⁻³ as a decimal. =
30. 30.8.5 × 10⁶ =
31. 31.What is the value of 5⁴ × 5⁻¹? =
32. 32.Write 6.5 × 10⁻⁴ as a decimal. =
33. 33.Write 8.8 × 10⁻⁴ as a decimal. =
34. 34.Write 7 × 10⁻¹ as a decimal. =
35. 35.What is the value of 2¹⁰? =
36. 36.What is the value of 3⁹? =
37. 37.What is the value of 7⁻² (as a fraction)? =
38. 38.What is the value of (1/2)⁻¹? =
39. 39.Write 2¹⁵ ÷ 2⁶ as a single power 2ⁿ. What is n?
40. 40.Write (4³)⁵ as a single power 4ⁿ. What is n?

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