Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 129 · 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. 1.7.2 × 10⁵ =
2. 2.What is the value of 2⁴ × 2⁻⁵? =
3. 3.Write 79,00,000 in standard form as 7.9 × 10ⁿ. What is n?
4. 4.What is the value of 5⁴ × 5⁻⁵? =
5. 5.What is the value of (3/7)⁻²? =
6. 6.What is the value of 2¹ × 2⁻⁴? =
7. 7.7.1 × 10⁷ =
8. 8.What is the value of (3/5)⁻¹? =
9. 9.What is the value of (2/3)⁻²? =
10. 10.What is the value of 4⁴? =
11. 11.Write 1,300 in standard form as 1.3 × 10ⁿ. What is n?
12. 12.What is the value of 3⁷? =
13. 13.What is the value of 2¹⁰? =
14. 14.Write 7.4 × 10⁻¹ as a decimal. =
15. 15.Write 8 × 10⁻³ as a decimal. =
16. 16.3.3 × 10⁶ =
17. 17.Write 4.8 × 10⁻² as a decimal. =
18. 18.What is the value of 6⁵? =
19. 19.What is the value of 2⁵ × 2⁻⁴? =
20. 20.What is the value of 2³ × 2⁻⁵? =
21. 21.What is the value of 2⁻⁶ (as a fraction)? =
22. 22.What is the value of 3² × 3⁻⁵? =
23. 23.Write 5 × 10⁻¹ as a decimal. =
24. 24.What is the value of 3⁻³ (as a fraction)? =
25. 25.Write 3.1 × 10⁻¹ as a decimal. =
26. 26.What is the value of 5³ × 5⁻²? =
27. 27.Write 730 in standard form as 7.3 × 10ⁿ. What is n?
28. 28.What is the value of 5⁴ × 5⁻⁶? =
29. 29.Write 8.8 × 10⁻¹ as a decimal. =
30. 30.What is the value of (3/4)⁻²? =
31. 31.Write 5 × 10⁻³ as a decimal. =
32. 32.3.5 × 10² =
33. 33.What is the value of 6³? =
34. 34.Write 4.7 × 10⁻³ as a decimal. =
35. 35.Write 9⁵ × 9⁴ as a single power 9ⁿ. What is n?
36. 36.Write 3.5 × 10⁻² as a decimal. =
37. 37.What is the value of 5⁷? =
38. 38.Write 2.1 × 10⁻² as a decimal. =
39. 39.Write 9.6 × 10⁻³ as a decimal. =
40. 40.2.7 × 10⁷ =

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