Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 358 · 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. 1.8.5 × 10⁶ =
2. 2.7.9 × 10² =
3. 3.Write 4⁵ × 4⁵ as a single power 4ⁿ. What is n?
4. 4.What is the value of 10⁵ × 10⁻⁴? =
5. 5.What is the value of 2⁶ × 2⁻⁵? =
6. 6.Write 2⁶ × 2⁹ as a single power 2ⁿ. What is n?
7. 7.Write 8.2 × 10⁻⁴ as a decimal. =
8. 8.What is the value of (3/7)⁻²? =
9. 9.What is the value of 3⁻⁵ (as a fraction)? =
10. 10.What is the value of (1/9)⁻²? =
11. 11.8.2 × 10³ =
12. 12.Write (8⁷)⁸ as a single power 8ⁿ. What is n?
13. 13.What is the value of 5⁻¹ (as a fraction)? =
14. 14.Write 8.6 × 10⁻¹ as a decimal. =
15. 15.3.7 × 10⁷ =
16. 16.What is the value of 2⁻² (as a fraction)? =
17. 17.Write 2.6 × 10⁻¹ as a decimal. =
18. 18.What is the value of (3/5)⁻²? =
19. 19.What is the value of 2¹⁵? =
20. 20.What is the value of 3¹ × 3⁻²? =
21. 21.2.9 × 10⁴ =
22. 22.6 × 10² =
23. 23.Write 1.2 × 10⁻³ as a decimal. =
24. 24.Write 2⁹ × 2³ as a single power 2ⁿ. What is n?
25. 25.What is the value of (3/5)⁻¹? =
26. 26.What is the value of 9³? =
27. 27.What is the value of 4⁶? =
28. 28.What is the value of (5/9)⁻²? =
29. 29.Write 4⁷ × 4⁴ as a single power 4ⁿ. What is n?
30. 30.4.1 × 10² =
31. 31.1.3 × 10⁵ =
32. 32.Write 90,00,000 in standard form as 9 × 10ⁿ. What is n?
33. 33.Write 7.3 × 10⁻¹ as a decimal. =
34. 34.What is the value of (1/7)⁻¹? =
35. 35.What is the value of 3⁸? =
36. 36.Write 6.1 × 10⁻¹ as a decimal. =
37. 37.Write (8⁵)⁷ as a single power 8ⁿ. What is n?
38. 38.Write 2⁹ ÷ 2⁶ as a single power 2ⁿ. What is n?
39. 39.What is the value of (2/9)⁻¹? =
40. 40.Write 9.6 × 10⁻⁴ as a decimal. =

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