Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 439 · 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 2¹⁰? =
2. 2.What is the value of (2/3)⁻²? =
3. 3.What is the value of 4⁶? =
4. 4.What is the value of (3/5)⁻¹? =
5. 5.6.1 × 10⁴ =
6. 6.Write 2.2 × 10⁻² as a decimal. =
7. 7.What is the value of 5³ × 5⁻⁶? =
8. 8.What is the value of (5/6)⁻¹? =
9. 9.What is the value of 4⁸? =
10. 10.Write 8¹² ÷ 8⁹ as a single power 8ⁿ. What is n?
11. 11.Write 3 × 10⁻² as a decimal. =
12. 12.What is the value of (2/7)⁻²? =
13. 13.What is the value of (1/6)⁻¹? =
14. 14.Write 51,00,000 in standard form as 5.1 × 10ⁿ. What is n?
15. 15.What is the value of 5⁵ × 5⁻⁴? =
16. 16.What is the value of 4⁷? =
17. 17.Write 2⁴ ÷ 2² as a single power 2ⁿ. What is n?
18. 18.3.5 × 10⁶ =
19. 19.What is the value of 2³ × 2⁻⁴? =
20. 20.Write 4⁷ ÷ 4² as a single power 4ⁿ. What is n?
21. 21.What is the value of 2¹²? =
22. 22.Write 3.6 × 10⁻³ as a decimal. =
23. 23.What is the value of 5⁷? =
24. 24.3.4 × 10⁴ =
25. 25.What is the value of (1/4)⁻¹? =
26. 26.Write 9 × 10⁻¹ as a decimal. =
27. 27.Write 6.4 × 10⁻¹ as a decimal. =
28. 28.Write 5.4 × 10⁻⁴ as a decimal. =
29. 29.2.2 × 10⁷ =
30. 30.3.2 × 10⁴ =
31. 31.What is the value of 10⁵ × 10⁻²? =
32. 32.Write 4⁹ × 4³ as a single power 4ⁿ. What is n?
33. 33.What is the value of 7⁴? =
34. 34.Write 5.8 × 10⁻³ as a decimal. =
35. 35.What is the value of 3³ × 3⁻³? =
36. 36.7.9 × 10² =
37. 37.Write 160 in standard form as 1.6 × 10ⁿ. What is n?
38. 38.Write 3⁶ × 3⁸ as a single power 3ⁿ. What is n?
39. 39.What is the value of 7⁻³ (as a fraction)? =
40. 40.Write 2⁶ × 2⁴ as a single power 2ⁿ. What is n?

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