Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 7 · 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. 1.6.3 × 10⁵ =
2. 2.What is the value of 2³? =
3. 3.Write 9.9 × 10⁻³ as a decimal. =
4. 4.What is the value of 3⁵? =
5. 5.Write 3,60,00,000 in standard form as 3.6 × 10ⁿ. What is n?
6. 6.Write 6¹³ ÷ 6⁷ as a single power 6ⁿ. What is n?
7. 7.Write (9⁹)⁸ as a single power 9ⁿ. What is n?
8. 8.What is the value of 3² × 3⁻⁶? =
9. 9.Write 7.2 × 10⁻⁴ as a decimal. =
10. 10.Write 2.9 × 10⁻⁴ as a decimal. =
11. 11.What is the value of 7⁴? =
12. 12.Write 140 in standard form as 1.4 × 10ⁿ. What is n?
13. 13.What is the value of 5⁵? =
14. 14.What is the value of 10⁵? =
15. 15.6.5 × 10³ =
16. 16.Write 2 × 10⁻¹ as a decimal. =
17. 17.What is the value of 3² × 3⁻²? =
18. 18.What is the value of 5¹ × 5⁻⁶? =
19. 19.Write 2.1 × 10⁻² as a decimal. =
20. 20.What is the value of (8/9)⁻¹? =
21. 21.Write 3.3 × 10⁻³ as a decimal. =
22. 22.What is the value of 10⁴ × 10⁻²? =
23. 23.What is the value of 3⁹? =
24. 24.2.4 × 10² =
25. 25.What is the value of 8⁴? =
26. 26.Write 2 × 10⁻³ as a decimal. =
27. 27.Write 9.9 × 10⁻⁴ as a decimal. =
28. 28.What is the value of 2¹⁴? =
29. 29.What is the value of 3⁴ × 3⁻²? =
30. 30.What is the value of (2/5)⁻²? =
31. 31.What is the value of 2⁵ × 2⁻⁶? =
32. 32.Write 6.2 × 10⁻¹ as a decimal. =
33. 33.Write 5.9 × 10⁻² as a decimal. =
34. 34.What is the value of 5⁶? =
35. 35.Write 4.5 × 10⁻² as a decimal. =
36. 36.What is the value of 8⁻³ (as a fraction)? =
37. 37.5.3 × 10⁵ =
38. 38.Write 670 in standard form as 6.7 × 10ⁿ. What is n?
39. 39.What is the value of 2² × 2⁻²? =
40. 40.What is the value of (2/3)⁻²? =

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