Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 60 · 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 5⁴? =
2. 2.What is the value of 2¹⁰? =
3. 3.What is the value of 2⁵ × 2⁻²? =
4. 4.What is the value of 8⁴? =
5. 5.Write 9.4 × 10⁻³ as a decimal. =
6. 6.What is the value of 4⁻¹ (as a fraction)? =
7. 7.What is the value of 2⁶ × 2⁻⁴? =
8. 8.8.9 × 10⁷ =
9. 9.Write 2.8 × 10⁻² as a decimal. =
10. 10.9.3 × 10² =
11. 11.What is the value of 2¹ × 2⁻¹? =
12. 12.What is the value of 2⁻⁹ (as a fraction)? =
13. 13.What is the value of 10⁶ × 10⁻³? =
14. 14.Write 9.7 × 10⁻⁴ as a decimal. =
15. 15.What is the value of 3⁵ × 3⁻⁶? =
16. 16.What is the value of 10²? =
17. 17.Write 7,800 in standard form as 7.8 × 10ⁿ. What is n?
18. 18.What is the value of 9⁵? =
19. 19.Write 2.6 × 10⁻⁴ as a decimal. =
20. 20.What is the value of 5⁴ × 5⁻⁶? =
21. 21.Write (3⁴)⁸ as a single power 3ⁿ. What is n?
22. 22.Write 3.5 × 10⁻³ as a decimal. =
23. 23.6.4 × 10³ =
24. 24.Write 4.5 × 10⁻³ as a decimal. =
25. 25.What is the value of 5⁶ × 5⁻³? =
26. 26.What is the value of (7/9)⁻²? =
27. 27.What is the value of 5⁵? =
28. 28.Write 6,90,00,000 in standard form as 6.9 × 10ⁿ. What is n?
29. 29.2.2 × 10⁵ =
30. 30.What is the value of (3/8)⁻²? =
31. 31.Write 2⁸ × 2³ as a single power 2ⁿ. What is n?
32. 32.Write 5.9 × 10⁻² as a decimal. =
33. 33.What is the value of 3¹⁰? =
34. 34.3.6 × 10⁷ =
35. 35.What is the value of 5⁷? =
36. 36.Write 6¹³ ÷ 6⁷ as a single power 6ⁿ. What is n?
37. 37.What is the value of (4/9)⁻¹? =
38. 38.What is the value of 3² × 3⁻⁶? =
39. 39.What is the value of 3⁶? =
40. 40.What is the value of (5/6)⁻²? =

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