Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 821 · 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 (4/7)⁻²? =
2. 2.Write 7⁷ × 7⁸ as a single power 7ⁿ. What is n?
3. 3.6.2 × 10³ =
4. 4.What is the value of 10¹ × 10⁻²? =
5. 5.2.3 × 10⁶ =
6. 6.Write 2³ × 2⁷ as a single power 2ⁿ. What is n?
7. 7.What is the value of 2⁴ × 2⁻¹? =
8. 8.What is the value of 3²? =
9. 9.2.6 × 10² =
10. 10.Write 5⁵ × 5³ as a single power 5ⁿ. What is n?
11. 11.What is the value of 6⁻² (as a fraction)? =
12. 12.Write (4⁵)² as a single power 4ⁿ. What is n?
13. 13.What is the value of 5⁴? =
14. 14.Write 27,000 in standard form as 2.7 × 10ⁿ. What is n?
15. 15.Write (9³)⁵ as a single power 9ⁿ. What is n?
16. 16.8.7 × 10⁴ =
17. 17.Write (7²)² as a single power 7ⁿ. What is n?
18. 18.Write (9⁴)⁴ as a single power 9ⁿ. What is n?
19. 19.What is the value of 2⁹? =
20. 20.What is the value of 2² × 2⁻¹? =
21. 21.What is the value of (4/5)⁻¹? =
22. 22.5.7 × 10⁴ =
23. 23.5.8 × 10⁵ =
24. 24.Write 4.5 × 10⁻⁴ as a decimal. =
25. 25.What is the value of 6⁵? =
26. 26.What is the value of (1/8)⁻²? =
27. 27.What is the value of 3¹ × 3⁻⁴? =
28. 28.Write 1.1 × 10⁻³ as a decimal. =
29. 29.What is the value of 6³? =
30. 30.What is the value of (1/8)⁻¹? =
31. 31.8.5 × 10⁴ =
32. 32.What is the value of (7/9)⁻²? =
33. 33.What is the value of 5⁻³ (as a fraction)? =
34. 34.8.4 × 10² =
35. 35.Write (3³)⁵ as a single power 3ⁿ. What is n?
36. 36.What is the value of 4⁻¹ (as a fraction)? =
37. 37.8 × 10⁷ =
38. 38.What is the value of 5² × 5⁻²? =
39. 39.What is the value of 2⁷? =
40. 40.Write (7⁵)² as a single power 7ⁿ. What is n?

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