Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 737 · 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.Write 7¹² ÷ 7⁴ as a single power 7ⁿ. What is n?
2. 2.8.9 × 10³ =
3. 3.Write 52,000 in standard form as 5.2 × 10ⁿ. What is n?
4. 4.What is the value of 8⁴? =
5. 5.Write 8⁴ × 8⁸ as a single power 8ⁿ. What is n?
6. 6.8.6 × 10⁵ =
7. 7.What is the value of (4/5)⁻¹? =
8. 8.What is the value of 2¹³? =
9. 9.Write 620 in standard form as 6.2 × 10ⁿ. What is n?
10. 10.Write 30,00,000 in standard form as 3 × 10ⁿ. What is n?
11. 11.What is the value of 2⁻⁹ (as a fraction)? =
12. 12.What is the value of 4⁸? =
13. 13.What is the value of 10¹ × 10⁻⁵? =
14. 14.What is the value of 3⁹? =
15. 15.What is the value of 2⁵ × 2⁻⁵? =
16. 16.What is the value of (4/5)⁻²? =
17. 17.What is the value of 7⁻³ (as a fraction)? =
18. 18.Write 7.1 × 10⁻⁴ as a decimal. =
19. 19.Write 5² × 5⁹ as a single power 5ⁿ. What is n?
20. 20.Write 9.2 × 10⁻³ as a decimal. =
21. 21.What is the value of 10² × 10⁻¹? =
22. 22.What is the value of (7/8)⁻²? =
23. 23.Write 3¹² ÷ 3⁵ as a single power 3ⁿ. What is n?
24. 24.Write 2⁴ × 2⁹ as a single power 2ⁿ. What is n?
25. 25.What is the value of 3⁻¹ (as a fraction)? =
26. 26.Write 8.8 × 10⁻² as a decimal. =
27. 27.What is the value of 4⁻³ (as a fraction)? =
28. 28.What is the value of 2¹²? =
29. 29.Write 3.8 × 10⁻⁴ as a decimal. =
30. 30.Write 8⁶ ÷ 8³ as a single power 8ⁿ. What is n?
31. 31.What is the value of 2²? =
32. 32.Write 6.2 × 10⁻³ as a decimal. =
33. 33.What is the value of 5⁻⁴ (as a fraction)? =
34. 34.Write 2.1 × 10⁻³ as a decimal. =
35. 35.Write 5.8 × 10⁻⁴ as a decimal. =
36. 36.Write 2.8 × 10⁻² as a decimal. =
37. 37.Write 6.6 × 10⁻³ as a decimal. =
38. 38.What is the value of 2¹⁵? =
39. 39.3.7 × 10⁴ =
40. 40.What is the value of 10⁵ × 10⁻⁵? =

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