Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 114 · 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 5² × 5⁻⁵? =
2. 2.What is the value of 9⁴? =
3. 3.6.5 × 10² =
4. 4.Write 81,000 in standard form as 8.1 × 10ⁿ. What is n?
5. 5.What is the value of (1/7)⁻²? =
6. 6.Write 1.3 × 10⁻³ as a decimal. =
7. 7.Write (7³)⁷ as a single power 7ⁿ. What is n?
8. 8.What is the value of 3⁵ × 3⁻⁵? =
9. 9.What is the value of 2⁻¹ (as a fraction)? =
10. 10.Write 3.6 × 10⁻⁴ as a decimal. =
11. 11.What is the value of 2¹⁴? =
12. 12.Write 8 × 10⁻² as a decimal. =
13. 13.What is the value of 2⁴? =
14. 14.What is the value of 2⁶ × 2⁻³? =
15. 15.Write 1.7 × 10⁻¹ as a decimal. =
16. 16.Write 2⁶ ÷ 2⁴ as a single power 2ⁿ. What is n?
17. 17.What is the value of 6⁵? =
18. 18.Write 7⁷ × 7⁵ as a single power 7ⁿ. What is n?
19. 19.5.7 × 10⁵ =
20. 20.3.4 × 10⁴ =
21. 21.9 × 10² =
22. 22.What is the value of 5¹ × 5⁻¹? =
23. 23.What is the value of 5⁶ × 5⁻²? =
24. 24.What is the value of 3⁴ × 3⁻⁴? =
25. 25.What is the value of 7⁻¹ (as a fraction)? =
26. 26.Write 2.7 × 10⁻² as a decimal. =
27. 27.Write 7.6 × 10⁻¹ as a decimal. =
28. 28.Write 4⁴ × 4⁸ as a single power 4ⁿ. What is n?
29. 29.2.1 × 10⁴ =
30. 30.What is the value of 3⁶ × 3⁻¹? =
31. 31.What is the value of 3¹ × 3⁻³? =
32. 32.4.6 × 10³ =
33. 33.What is the value of 2⁹? =
34. 34.What is the value of 7²? =
35. 35.4.8 × 10³ =
36. 36.What is the value of 10⁻¹ (as a fraction)? =
37. 37.What is the value of 2³ × 2⁻²? =
38. 38.What is the value of 2⁵ × 2⁻³? =
39. 39.What is the value of 7⁻³ (as a fraction)? =
40. 40.Write 2,90,00,000 in standard form as 2.9 × 10ⁿ. What is n?

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