Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 93 · 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 3.6 × 10⁻¹ as a decimal. =
2. 2.Write 8⁵ × 8³ as a single power 8ⁿ. What is n?
3. 3.Write 6.8 × 10⁻² as a decimal. =
4. 4.What is the value of (5/9)⁻²? =
5. 5.What is the value of 10³ × 10⁻⁵? =
6. 6.5 × 10² =
7. 7.1.3 × 10⁴ =
8. 8.What is the value of 7²? =
9. 9.What is the value of 3⁻¹ (as a fraction)? =
10. 10.What is the value of 2³? =
11. 11.What is the value of 2³ × 2⁻⁵? =
12. 12.3.1 × 10⁵ =
13. 13.Write 4,200 in standard form as 4.2 × 10ⁿ. What is n?
14. 14.What is the value of (1/9)⁻¹? =
15. 15.What is the value of 2¹⁵? =
16. 16.Write 5.2 × 10⁻⁴ as a decimal. =
17. 17.Write 8 × 10⁻² as a decimal. =
18. 18.Write 1.1 × 10⁻¹ as a decimal. =
19. 19.What is the value of 4⁵? =
20. 20.What is the value of 5⁶? =
21. 21.What is the value of 2¹⁶? =
22. 22.What is the value of 10⁶ × 10⁻²? =
23. 23.Write 4.9 × 10⁻³ as a decimal. =
24. 24.What is the value of 4⁶? =
25. 25.What is the value of 2⁻² (as a fraction)? =
26. 26.What is the value of 10¹ × 10⁻¹? =
27. 27.What is the value of 5⁷? =
28. 28.What is the value of 7³? =
29. 29.What is the value of 7⁵? =
30. 30.Write 39,00,000 in standard form as 3.9 × 10ⁿ. What is n?
31. 31.What is the value of 5⁶ × 5⁻²? =
32. 32.What is the value of 6⁵? =
33. 33.Write 3¹¹ ÷ 3⁹ as a single power 3ⁿ. What is n?
34. 34.Write (7⁶)⁹ as a single power 7ⁿ. What is n?
35. 35.Write (5⁹)⁶ as a single power 5ⁿ. What is n?
36. 36.What is the value of 2⁴ × 2⁻²? =
37. 37.What is the value of 4⁴? =
38. 38.3.8 × 10⁶ =
39. 39.What is the value of 2¹²? =
40. 40.Write (7⁸)⁸ as a single power 7ⁿ. What is n?

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