Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 934 · 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. 1.5.8 × 10⁷ =
2. 2.Write 8.6 × 10⁻⁴ as a decimal. =
3. 3.Write 5.2 × 10⁻² as a decimal. =
4. 4.What is the value of 3² × 3⁻³? =
5. 5.What is the value of 4⁶? =
6. 6.Write 8.2 × 10⁻³ as a decimal. =
7. 7.What is the value of 3¹⁰? =
8. 8.Write 3.6 × 10⁻¹ as a decimal. =
9. 9.What is the value of 3⁹? =
10. 10.What is the value of 10³? =
11. 11.What is the value of 5¹ × 5⁻¹? =
12. 12.Write 4.7 × 10⁻⁴ as a decimal. =
13. 13.Write 9,600 in standard form as 9.6 × 10ⁿ. What is n?
14. 14.What is the value of 3⁷? =
15. 15.What is the value of 2⁻⁸ (as a fraction)? =
16. 16.What is the value of 3⁻⁴ (as a fraction)? =
17. 17.What is the value of 3² × 3⁻⁵? =
18. 18.Write 9.5 × 10⁻¹ as a decimal. =
19. 19.What is the value of 10² × 10⁻²? =
20. 20.What is the value of 2¹⁴? =
21. 21.6.9 × 10² =
22. 22.What is the value of 4⁻¹ (as a fraction)? =
23. 23.3.7 × 10³ =
24. 24.What is the value of (4/7)⁻¹? =
25. 25.Write 1.8 × 10⁻² as a decimal. =
26. 26.4.7 × 10² =
27. 27.What is the value of (3/8)⁻²? =
28. 28.What is the value of 3⁵? =
29. 29.Write 7⁹ × 7⁶ as a single power 7ⁿ. What is n?
30. 30.What is the value of 5³ × 5⁻¹? =
31. 31.What is the value of (3/8)⁻¹? =
32. 32.Write 8¹³ ÷ 8⁷ as a single power 8ⁿ. What is n?
33. 33.What is the value of 4⁷? =
34. 34.What is the value of 5⁶? =
35. 35.Write 2² × 2⁶ as a single power 2ⁿ. What is n?
36. 36.What is the value of 2⁵? =
37. 37.Write 3¹² ÷ 3⁴ as a single power 3ⁿ. What is n?
38. 38.What is the value of 3⁻⁶ (as a fraction)? =
39. 39.9.8 × 10³ =
40. 40.Write 6³ × 6⁹ as a single power 6ⁿ. What is n?

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