Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 784 · 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 10² × 10⁻³? =
2. 2.What is the value of 5¹ × 5⁻⁵? =
3. 3.2.7 × 10⁷ =
4. 4.What is the value of 3⁴ × 3⁻¹? =
5. 5.Write 2.7 × 10⁻⁴ as a decimal. =
6. 6.What is the value of 10⁶ × 10⁻¹? =
7. 7.Write 8⁷ × 8⁶ as a single power 8ⁿ. What is n?
8. 8.What is the value of 3² × 3⁻¹? =
9. 9.What is the value of 3⁹? =
10. 10.What is the value of 3¹ × 3⁻⁴? =
11. 11.What is the value of 3⁴? =
12. 12.6.1 × 10⁴ =
13. 13.What is the value of 6⁶? =
14. 14.What is the value of 3³? =
15. 15.What is the value of (3/4)⁻¹? =
16. 16.What is the value of 10³ × 10⁻²? =
17. 17.What is the value of 2¹²? =
18. 18.What is the value of 10³? =
19. 19.6.3 × 10² =
20. 20.Write 46,00,000 in standard form as 4.6 × 10ⁿ. What is n?
21. 21.What is the value of 5⁶? =
22. 22.Write 3.3 × 10⁻¹ as a decimal. =
23. 23.Write 5.5 × 10⁻³ as a decimal. =
24. 24.Write 6¹⁶ ÷ 6⁷ as a single power 6ⁿ. What is n?
25. 25.Write 4.9 × 10⁻⁴ as a decimal. =
26. 26.3.3 × 10⁵ =
27. 27.Write 90,00,000 in standard form as 9 × 10ⁿ. What is n?
28. 28.Write 7¹¹ ÷ 7² as a single power 7ⁿ. What is n?
29. 29.What is the value of 3⁶? =
30. 30.7.5 × 10⁵ =
31. 31.What is the value of 4⁶? =
32. 32.What is the value of 5⁶ × 5⁻⁶? =
33. 33.8.9 × 10² =
34. 34.What is the value of (5/6)⁻¹? =
35. 35.What is the value of 2³ × 2⁻⁵? =
36. 36.What is the value of 4⁸? =
37. 37.What is the value of (1/5)⁻¹? =
38. 38.Write 1,30,00,000 in standard form as 1.3 × 10ⁿ. What is n?
39. 39.Write 3³ × 3⁴ as a single power 3ⁿ. What is n?
40. 40.What is the value of 5⁻¹ (as a fraction)? =

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