Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 269 · 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 (1/5)⁻²? =
2. 2.What is the value of 2¹⁰? =
3. 3.What is the value of 3² × 3⁻⁵? =
4. 4.4.5 × 10² =
5. 5.Write 8.7 × 10⁻³ as a decimal. =
6. 6.What is the value of (2/5)⁻²? =
7. 7.What is the value of 6⁻¹ (as a fraction)? =
8. 8.5.1 × 10⁴ =
9. 9.What is the value of (5/9)⁻¹? =
10. 10.What is the value of 2⁻⁵ (as a fraction)? =
11. 11.Write 82,000 in standard form as 8.2 × 10ⁿ. What is n?
12. 12.Write 7.9 × 10⁻³ as a decimal. =
13. 13.Write 2.7 × 10⁻³ as a decimal. =
14. 14.What is the value of (7/9)⁻²? =
15. 15.What is the value of 3⁵ × 3⁻²? =
16. 16.Write 5.9 × 10⁻³ as a decimal. =
17. 17.Write (7⁸)⁴ as a single power 7ⁿ. What is n?
18. 18.Write 1.9 × 10⁻¹ as a decimal. =
19. 19.Write 5.6 × 10⁻⁴ as a decimal. =
20. 20.8.6 × 10³ =
21. 21.Write 4.6 × 10⁻³ as a decimal. =
22. 22.Write 9.9 × 10⁻¹ as a decimal. =
23. 23.What is the value of 5⁵ × 5⁻⁵? =
24. 24.8.4 × 10⁵ =
25. 25.What is the value of 7²? =
26. 26.Write 1.3 × 10⁻¹ as a decimal. =
27. 27.What is the value of 3⁴? =
28. 28.What is the value of 10⁻³ (as a fraction)? =
29. 29.What is the value of 7⁵? =
30. 30.What is the value of 2² × 2⁻⁴? =
31. 31.7.4 × 10³ =
32. 32.6.9 × 10⁵ =
33. 33.What is the value of 5⁴? =
34. 34.What is the value of 10⁴ × 10⁻³? =
35. 35.Write 4.6 × 10⁻⁴ as a decimal. =
36. 36.What is the value of 3¹ × 3⁻²? =
37. 37.What is the value of 10³? =
38. 38.Write 2⁶ × 2⁷ as a single power 2ⁿ. What is n?
39. 39.What is the value of 2¹³? =
40. 40.What is the value of 2⁵ × 2⁻³? =

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