Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 874 · 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 2¹³? =
2. 2.Write 4.9 × 10⁻³ as a decimal. =
3. 3.What is the value of 9²? =
4. 4.Write 3.4 × 10⁻¹ as a decimal. =
5. 5.Write 3 × 10⁻⁴ as a decimal. =
6. 6.What is the value of 2⁷? =
7. 7.What is the value of 3⁴ × 3⁻¹? =
8. 8.Write 8³ × 8⁷ as a single power 8ⁿ. What is n?
9. 9.What is the value of 2¹ × 2⁻⁵? =
10. 10.8.8 × 10⁵ =
11. 11.What is the value of (2/7)⁻¹? =
12. 12.Write 7.5 × 10⁻² as a decimal. =
13. 13.What is the value of 4²? =
14. 14.Write 6.4 × 10⁻⁴ as a decimal. =
15. 15.7 × 10³ =
16. 16.What is the value of 5⁶? =
17. 17.Write 5.7 × 10⁻¹ as a decimal. =
18. 18.What is the value of 9⁴? =
19. 19.9.7 × 10⁴ =
20. 20.Write 9¹¹ ÷ 9⁶ as a single power 9ⁿ. What is n?
21. 21.8.9 × 10⁴ =
22. 22.What is the value of 6⁶? =
23. 23.What is the value of 10² × 10⁻¹? =
24. 24.Write 7¹¹ ÷ 7³ as a single power 7ⁿ. What is n?
25. 25.2.2 × 10² =
26. 26.What is the value of 10⁵? =
27. 27.Write 5.3 × 10⁻² as a decimal. =
28. 28.What is the value of 10⁶ × 10⁻⁵? =
29. 29.Write 9³ × 9⁸ as a single power 9ⁿ. What is n?
30. 30.Write 5.5 × 10⁻⁴ as a decimal. =
31. 31.Write 5 × 10⁻¹ as a decimal. =
32. 32.What is the value of (2/9)⁻²? =
33. 33.Write 3¹¹ ÷ 3⁴ as a single power 3ⁿ. What is n?
34. 34.4.6 × 10² =
35. 35.What is the value of 4⁵? =
36. 36.What is the value of 2³ × 2⁻⁴? =
37. 37.Write 48,000 in standard form as 4.8 × 10ⁿ. What is n?
38. 38.Write 8⁶ × 8⁹ as a single power 8ⁿ. What is n?
39. 39.Write 9.6 × 10⁻⁴ as a decimal. =
40. 40.What is the value of 3⁷? =

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