Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 470 · 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 5³ × 5⁻⁴? =
2. 2.Write 2¹⁵ ÷ 2⁹ as a single power 2ⁿ. What is n?
3. 3.What is the value of 8⁴? =
4. 4.What is the value of 3⁶? =
5. 5.What is the value of 5⁶ × 5⁻⁴? =
6. 6.What is the value of 2¹⁰? =
7. 7.What is the value of 3⁵ × 3⁻⁶? =
8. 8.7.5 × 10² =
9. 9.What is the value of 5⁵? =
10. 10.Write 2.4 × 10⁻⁴ as a decimal. =
11. 11.Write 3⁷ × 3⁵ as a single power 3ⁿ. What is n?
12. 12.What is the value of 5³ × 5⁻³? =
13. 13.What is the value of (3/4)⁻¹? =
14. 14.What is the value of 6³? =
15. 15.What is the value of 5²? =
16. 16.Write (3⁷)⁶ as a single power 3ⁿ. What is n?
17. 17.What is the value of 2¹ × 2⁻⁵? =
18. 18.Write 3.2 × 10⁻⁴ as a decimal. =
19. 19.Write 6,000 in standard form as 6 × 10ⁿ. What is n?
20. 20.What is the value of 4⁷? =
21. 21.What is the value of 2⁻⁷ (as a fraction)? =
22. 22.Write 5.3 × 10⁻¹ as a decimal. =
23. 23.Write 3.5 × 10⁻³ as a decimal. =
24. 24.What is the value of 4⁸? =
25. 25.What is the value of (7/9)⁻¹? =
26. 26.What is the value of 10¹ × 10⁻³? =
27. 27.What is the value of 7⁴? =
28. 28.4.6 × 10⁵ =
29. 29.3.3 × 10² =
30. 30.9.8 × 10⁵ =
31. 31.Write 2⁸ × 2² as a single power 2ⁿ. What is n?
32. 32.Write 7,900 in standard form as 7.9 × 10ⁿ. What is n?
33. 33.What is the value of 6⁶? =
34. 34.Write 3.1 × 10⁻² as a decimal. =
35. 35.What is the value of 3⁸? =
36. 36.Write 2² × 2² as a single power 2ⁿ. What is n?
37. 37.What is the value of 10¹ × 10⁻²? =
38. 38.9.5 × 10³ =
39. 39.What is the value of 3⁵ × 3⁻⁵? =
40. 40.4.3 × 10³ =

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