Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 210 · 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? =
2. 2.What is the value of 3⁶ × 3⁻⁶? =
3. 3.What is the value of 7²? =
4. 4.Write 6.1 × 10⁻¹ as a decimal. =
5. 5.1.7 × 10² =
6. 6.What is the value of 5⁶? =
7. 7.What is the value of (1/3)⁻²? =
8. 8.Write 7.8 × 10⁻³ as a decimal. =
9. 9.Write 8.3 × 10⁻⁴ as a decimal. =
10. 10.8.5 × 10⁶ =
11. 11.9 × 10⁵ =
12. 12.Write 5.2 × 10⁻³ as a decimal. =
13. 13.Write 3.1 × 10⁻³ as a decimal. =
14. 14.What is the value of 9²? =
15. 15.What is the value of 2⁶? =
16. 16.What is the value of (4/9)⁻²? =
17. 17.Write 4.2 × 10⁻³ as a decimal. =
18. 18.What is the value of 2⁴ × 2⁻³? =
19. 19.Write 3.3 × 10⁻² as a decimal. =
20. 20.What is the value of 3¹ × 3⁻⁴? =
21. 21.Write 6¹⁰ ÷ 6⁷ as a single power 6ⁿ. What is n?
22. 22.Write (2⁹)³ as a single power 2ⁿ. What is n?
23. 23.What is the value of (2/5)⁻²? =
24. 24.Write 3¹⁷ ÷ 3⁹ as a single power 3ⁿ. What is n?
25. 25.What is the value of 4⁶? =
26. 26.What is the value of 2² × 2⁻¹? =
27. 27.What is the value of 8⁻² (as a fraction)? =
28. 28.What is the value of (1/9)⁻²? =
29. 29.Write (3⁶)² as a single power 3ⁿ. What is n?
30. 30.What is the value of 5⁵ × 5⁻³? =
31. 31.Write 2.9 × 10⁻¹ as a decimal. =
32. 32.Write 6,900 in standard form as 6.9 × 10ⁿ. What is n?
33. 33.Write 4.3 × 10⁻³ as a decimal. =
34. 34.Write 2.1 × 10⁻³ as a decimal. =
35. 35.Write 6³ × 6² as a single power 6ⁿ. What is n?
36. 36.Write 6.7 × 10⁻² as a decimal. =
37. 37.1.3 × 10³ =
38. 38.3.9 × 10⁴ =
39. 39.Write 3.1 × 10⁻¹ as a decimal. =
40. 40.Write 8⁷ ÷ 8² as a single power 8ⁿ. What is n?

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