Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 767 · 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. 1.4.9 × 10⁷ =
2. 2.Write 6 × 10⁻¹ as a decimal. =
3. 3.What is the value of 3⁹? =
4. 4.Write 4.2 × 10⁻¹ as a decimal. =
5. 5.Write 4.5 × 10⁻¹ as a decimal. =
6. 6.What is the value of 5⁷? =
7. 7.What is the value of (5/8)⁻²? =
8. 8.What is the value of 5⁶? =
9. 9.9.5 × 10⁶ =
10. 10.What is the value of 2⁶ × 2⁻²? =
11. 11.What is the value of 10⁶ × 10⁻¹? =
12. 12.What is the value of 4³? =
13. 13.2.9 × 10⁴ =
14. 14.What is the value of 2⁸? =
15. 15.What is the value of 2¹⁵? =
16. 16.Write 2⁸ ÷ 2² as a single power 2ⁿ. What is n?
17. 17.What is the value of 2⁻⁹ (as a fraction)? =
18. 18.Write 6,40,000 in standard form as 6.4 × 10ⁿ. What is n?
19. 19.What is the value of 2⁻³ (as a fraction)? =
20. 20.Write 5.6 × 10⁻² as a decimal. =
21. 21.Write 4.1 × 10⁻⁴ as a decimal. =
22. 22.What is the value of 5³? =
23. 23.What is the value of 5⁵ × 5⁻⁵? =
24. 24.Write 1.1 × 10⁻¹ as a decimal. =
25. 25.What is the value of 10³ × 10⁻⁵? =
26. 26.Write (9⁴)⁷ as a single power 9ⁿ. What is n?
27. 27.What is the value of 6⁵? =
28. 28.What is the value of 4⁷? =
29. 29.What is the value of 10⁻³ (as a fraction)? =
30. 30.Write 9.8 × 10⁻¹ as a decimal. =
31. 31.Write 4⁸ × 4³ as a single power 4ⁿ. What is n?
32. 32.Write 8.9 × 10⁻³ as a decimal. =
33. 33.What is the value of 9⁻³ (as a fraction)? =
34. 34.What is the value of 2⁴ × 2⁻⁵? =
35. 35.Write 5.2 × 10⁻⁴ as a decimal. =
36. 36.What is the value of 6³? =
37. 37.What is the value of 10⁵? =
38. 38.What is the value of 10³? =
39. 39.5.9 × 10⁶ =
40. 40.Write 3¹² ÷ 3⁵ as a single power 3ⁿ. What is n?

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