Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 613 · 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 10⁵? =
2. 2.What is the value of 4⁷? =
3. 3.What is the value of 3³? =
4. 4.Write 7³ × 7⁸ as a single power 7ⁿ. What is n?
5. 5.9.3 × 10⁵ =
6. 6.3.5 × 10⁷ =
7. 7.Write 3³ × 3⁶ as a single power 3ⁿ. What is n?
8. 8.What is the value of 10⁶ × 10⁻⁵? =
9. 9.What is the value of 8⁻³ (as a fraction)? =
10. 10.Write 2¹³ ÷ 2⁹ as a single power 2ⁿ. What is n?
11. 11.Write 6⁷ × 6⁷ as a single power 6ⁿ. What is n?
12. 12.What is the value of 2¹⁵? =
13. 13.Write 1.6 × 10⁻³ as a decimal. =
14. 14.Write 8² × 8² as a single power 8ⁿ. What is n?
15. 15.Write (4³)⁸ as a single power 4ⁿ. What is n?
16. 16.What is the value of 10⁶ × 10⁻⁴? =
17. 17.Write (2⁶)⁶ as a single power 2ⁿ. What is n?
18. 18.What is the value of 5⁻¹ (as a fraction)? =
19. 19.Write 2¹⁶ ÷ 2⁹ as a single power 2ⁿ. What is n?
20. 20.What is the value of 5² × 5⁻¹? =
21. 21.9.5 × 10⁷ =
22. 22.What is the value of 3³ × 3⁻¹? =
23. 23.What is the value of 3⁴ × 3⁻⁵? =
24. 24.5.3 × 10⁴ =
25. 25.Write 2⁶ × 2⁶ as a single power 2ⁿ. What is n?
26. 26.What is the value of 9²? =
27. 27.What is the value of (1/5)⁻²? =
28. 28.4.7 × 10⁴ =
29. 29.What is the value of (4/9)⁻¹? =
30. 30.What is the value of 3⁶? =
31. 31.Write 8.8 × 10⁻¹ as a decimal. =
32. 32.What is the value of 8⁵? =
33. 33.What is the value of 2¹⁰? =
34. 34.4.4 × 10⁴ =
35. 35.What is the value of 2⁻⁹ (as a fraction)? =
36. 36.What is the value of 5³ × 5⁻⁶? =
37. 37.Write 5.4 × 10⁻¹ as a decimal. =
38. 38.6.7 × 10² =
39. 39.9.9 × 10⁴ =
40. 40.Write 7.8 × 10⁻³ as a decimal. =

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