Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 86 · 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 5⁶? =
2. 2.Write (6⁵)⁴ as a single power 6ⁿ. What is n?
3. 3.4.2 × 10⁶ =
4. 4.What is the value of 5⁵? =
5. 5.Write 3.4 × 10⁻² as a decimal. =
6. 6.Write 2² × 2² as a single power 2ⁿ. What is n?
7. 7.What is the value of 2⁶ × 2⁻¹? =
8. 8.What is the value of (1/2)⁻²? =
9. 9.8.3 × 10⁵ =
10. 10.8.2 × 10⁵ =
11. 11.What is the value of 4⁻⁴ (as a fraction)? =
12. 12.Write 22,000 in standard form as 2.2 × 10ⁿ. What is n?
13. 13.What is the value of 2⁻¹ (as a fraction)? =
14. 14.What is the value of 7⁵? =
15. 15.What is the value of 3⁵ × 3⁻¹? =
16. 16.Write 2³ × 2⁷ as a single power 2ⁿ. What is n?
17. 17.What is the value of (1/8)⁻¹? =
18. 18.9.1 × 10³ =
19. 19.What is the value of 6⁻¹ (as a fraction)? =
20. 20.What is the value of 2⁻⁶ (as a fraction)? =
21. 21.Write 8.1 × 10⁻⁴ as a decimal. =
22. 22.1.6 × 10⁷ =
23. 23.3.4 × 10² =
24. 24.What is the value of 2⁵ × 2⁻¹? =
25. 25.What is the value of 2⁶? =
26. 26.1.1 × 10³ =
27. 27.Write 2,000 in standard form as 2 × 10ⁿ. What is n?
28. 28.Write 7.2 × 10⁻⁴ as a decimal. =
29. 29.What is the value of 5⁴ × 5⁻³? =
30. 30.What is the value of (5/8)⁻¹? =
31. 31.Write 2,800 in standard form as 2.8 × 10ⁿ. What is n?
32. 32.8.2 × 10³ =
33. 33.What is the value of 3⁵ × 3⁻⁴? =
34. 34.What is the value of 2⁹? =
35. 35.What is the value of (4/9)⁻¹? =
36. 36.Write 4¹² ÷ 4³ as a single power 4ⁿ. What is n?
37. 37.Write 9⁹ ÷ 9⁶ as a single power 9ⁿ. What is n?
38. 38.What is the value of (1/7)⁻¹? =
39. 39.What is the value of 8³? =
40. 40.Write 5.2 × 10⁻¹ as a decimal. =

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