Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 38 · 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.Write 4⁸ ÷ 4⁴ as a single power 4ⁿ. What is n?
2. 2.What is the value of 5⁷? =
3. 3.Write 3.8 × 10⁻¹ as a decimal. =
4. 4.What is the value of 4³? =
5. 5.Write 4.4 × 10⁻¹ as a decimal. =
6. 6.What is the value of 10⁵ × 10⁻²? =
7. 7.What is the value of 5⁴ × 5⁻⁵? =
8. 8.What is the value of 4²? =
9. 9.What is the value of 10⁵ × 10⁻⁴? =
10. 10.What is the value of 2³? =
11. 11.What is the value of (5/8)⁻²? =
12. 12.What is the value of 2² × 2⁻²? =
13. 13.What is the value of 10² × 10⁻⁶? =
14. 14.What is the value of 7³? =
15. 15.Write 940 in standard form as 9.4 × 10ⁿ. What is n?
16. 16.9.9 × 10² =
17. 17.What is the value of 10³? =
18. 18.9 × 10² =
19. 19.What is the value of 2²? =
20. 20.Write 390 in standard form as 3.9 × 10ⁿ. What is n?
21. 21.Write 5.3 × 10⁻¹ as a decimal. =
22. 22.Write 4,30,00,000 in standard form as 4.3 × 10ⁿ. What is n?
23. 23.What is the value of 3³? =
24. 24.What is the value of (1/3)⁻¹? =
25. 25.Write 5.9 × 10⁻⁴ as a decimal. =
26. 26.Write 9.3 × 10⁻³ as a decimal. =
27. 27.What is the value of 3¹ × 3⁻²? =
28. 28.What is the value of 2³ × 2⁻²? =
29. 29.What is the value of 6⁻³ (as a fraction)? =
30. 30.Write 3.2 × 10⁻² as a decimal. =
31. 31.What is the value of (1/4)⁻¹? =
32. 32.6.2 × 10² =
33. 33.What is the value of 2¹ × 2⁻¹? =
34. 34.What is the value of (4/7)⁻²? =
35. 35.What is the value of 5⁶ × 5⁻²? =
36. 36.What is the value of 3⁵ × 3⁻³? =
37. 37.What is the value of 5² × 5⁻³? =
38. 38.What is the value of 3³ × 3⁻³? =
39. 39.2.8 × 10³ =
40. 40.What is the value of 2³ × 2⁻¹? =

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