Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 727 · 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 1.9 × 10⁻² as a decimal. =
2. 2.What is the value of 5³? =
3. 3.What is the value of 5³ × 5⁻⁶? =
4. 4.Write (6⁴)² as a single power 6ⁿ. What is n?
5. 5.What is the value of 10⁴? =
6. 6.4.2 × 10² =
7. 7.What is the value of 3¹ × 3⁻¹? =
8. 8.Write 2.1 × 10⁻³ as a decimal. =
9. 9.What is the value of 2⁶ × 2⁻⁶? =
10. 10.8.5 × 10⁷ =
11. 11.What is the value of 3⁵? =
12. 12.What is the value of 3⁴? =
13. 13.Write 2.8 × 10⁻² as a decimal. =
14. 14.What is the value of 2⁻⁴ (as a fraction)? =
15. 15.8.1 × 10⁷ =
16. 16.Write 8² × 8⁸ as a single power 8ⁿ. What is n?
17. 17.What is the value of 10⁴ × 10⁻⁵? =
18. 18.9.2 × 10⁶ =
19. 19.What is the value of 3³? =
20. 20.Write (7³)³ as a single power 7ⁿ. What is n?
21. 21.What is the value of 10³? =
22. 22.Write 4,00,00,000 in standard form as 4 × 10ⁿ. What is n?
23. 23.Write 4⁹ × 4⁹ as a single power 4ⁿ. What is n?
24. 24.What is the value of 2⁻¹ (as a fraction)? =
25. 25.What is the value of 5⁻² (as a fraction)? =
26. 26.Write 3² × 3⁶ as a single power 3ⁿ. What is n?
27. 27.What is the value of 5⁶ × 5⁻⁴? =
28. 28.What is the value of 5⁷? =
29. 29.Write 4.4 × 10⁻² as a decimal. =
30. 30.6.7 × 10⁷ =
31. 31.Write 4⁸ × 4⁹ as a single power 4ⁿ. What is n?
32. 32.What is the value of (5/7)⁻²? =
33. 33.Write (7⁸)⁶ as a single power 7ⁿ. What is n?
34. 34.Write 6 × 10⁻² as a decimal. =
35. 35.2.5 × 10² =
36. 36.Write 7 × 10⁻⁴ as a decimal. =
37. 37.9.6 × 10⁵ =
38. 38.What is the value of 3⁴ × 3⁻²? =
39. 39.What is the value of 3¹ × 3⁻⁶? =
40. 40.What is the value of 10² × 10⁻⁶? =

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