Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 77 · 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 (9²)⁶ as a single power 9ⁿ. What is n?
2. 2.Write (7⁸)⁸ as a single power 7ⁿ. What is n?
3. 3.What is the value of 3⁶? =
4. 4.What is the value of 5⁻⁴ (as a fraction)? =
5. 5.What is the value of 6⁴? =
6. 6.Write 3⁶ × 3⁸ as a single power 3ⁿ. What is n?
7. 7.Write 2.6 × 10⁻⁴ as a decimal. =
8. 8.Write 5.8 × 10⁻⁴ as a decimal. =
9. 9.9.2 × 10⁷ =
10. 10.Write 30,00,000 in standard form as 3 × 10ⁿ. What is n?
11. 11.Write (7⁹)⁹ as a single power 7ⁿ. What is n?
12. 12.Write 6³ × 6² as a single power 6ⁿ. What is n?
13. 13.Write 9.2 × 10⁻¹ as a decimal. =
14. 14.What is the value of 8²? =
15. 15.Write 9 × 10⁻¹ as a decimal. =
16. 16.Write (7⁷)⁴ as a single power 7ⁿ. What is n?
17. 17.What is the value of 9²? =
18. 18.Write 33,000 in standard form as 3.3 × 10ⁿ. What is n?
19. 19.Write 6.9 × 10⁻⁴ as a decimal. =
20. 20.What is the value of (2/3)⁻²? =
21. 21.Write (7⁴)³ as a single power 7ⁿ. What is n?
22. 22.What is the value of 2⁹? =
23. 23.What is the value of (1/7)⁻²? =
24. 24.What is the value of 2⁻⁷ (as a fraction)? =
25. 25.What is the value of 2⁻⁹ (as a fraction)? =
26. 26.Write 7⁶ × 7³ as a single power 7ⁿ. What is n?
27. 27.What is the value of 2⁸? =
28. 28.Write 6.8 × 10⁻³ as a decimal. =
29. 29.Write (6⁴)⁵ as a single power 6ⁿ. What is n?
30. 30.What is the value of 4⁸? =
31. 31.What is the value of 10⁻² (as a fraction)? =
32. 32.Write 3.4 × 10⁻⁴ as a decimal. =
33. 33.Write 9³ × 9⁷ as a single power 9ⁿ. What is n?
34. 34.Write 6.6 × 10⁻⁴ as a decimal. =
35. 35.What is the value of 8⁻¹ (as a fraction)? =
36. 36.What is the value of 2⁴? =
37. 37.6.3 × 10² =
38. 38.Write 1.4 × 10⁻² as a decimal. =
39. 39.Write 9⁷ × 9⁷ as a single power 9ⁿ. What is n?
40. 40.What is the value of 2¹⁴? =

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