Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 374 · 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. 1.5.3 × 10³ =
2. 2.Write 35,00,000 in standard form as 3.5 × 10ⁿ. What is n?
3. 3.Write 2 × 10⁻¹ as a decimal. =
4. 4.What is the value of 2²? =
5. 5.Write 27,00,000 in standard form as 2.7 × 10ⁿ. What is n?
6. 6.Write 650 in standard form as 6.5 × 10ⁿ. What is n?
7. 7.What is the value of (5/8)⁻¹? =
8. 8.Write 4 × 10⁻¹ as a decimal. =
9. 9.Write 2 × 10⁻² as a decimal. =
10. 10.What is the value of 10⁻³ (as a fraction)? =
11. 11.What is the value of 2⁵? =
12. 12.What is the value of 2³? =
13. 13.What is the value of 4⁻¹ (as a fraction)? =
14. 14.What is the value of 5⁴ × 5⁻⁴? =
15. 15.9.4 × 10² =
16. 16.What is the value of 2¹⁵? =
17. 17.Write 3⁹ × 3⁴ as a single power 3ⁿ. What is n?
18. 18.What is the value of 2⁴? =
19. 19.Write 5.6 × 10⁻³ as a decimal. =
20. 20.What is the value of 3¹⁰? =
21. 21.What is the value of 10² × 10⁻⁶? =
22. 22.6 × 10⁴ =
23. 23.Write 860 in standard form as 8.6 × 10ⁿ. What is n?
24. 24.What is the value of 10³ × 10⁻³? =
25. 25.Write 3.7 × 10⁻⁴ as a decimal. =
26. 26.Write 9.1 × 10⁻⁴ as a decimal. =
27. 27.What is the value of 10⁵ × 10⁻⁵? =
28. 28.Write 1.8 × 10⁻³ as a decimal. =
29. 29.3.7 × 10⁴ =
30. 30.What is the value of 3² × 3⁻²? =
31. 31.Write 8⁶ × 8⁵ as a single power 8ⁿ. What is n?
32. 32.6.9 × 10³ =
33. 33.What is the value of 3⁵? =
34. 34.What is the value of 7²? =
35. 35.Write 2.8 × 10⁻¹ as a decimal. =
36. 36.7 × 10⁵ =
37. 37.What is the value of 10⁵? =
38. 38.What is the value of 2⁹? =
39. 39.What is the value of 2⁶ × 2⁻²? =
40. 40.Write 3¹² ÷ 3⁵ as a single power 3ⁿ. What is n?

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