Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 893 · 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 9.5 × 10⁻³ as a decimal. =
2. 2.What is the value of 2¹⁶? =
3. 3.What is the value of 9³? =
4. 4.Write 7.1 × 10⁻³ as a decimal. =
5. 5.What is the value of 2⁵ × 2⁻¹? =
6. 6.3.2 × 10³ =
7. 7.What is the value of 10⁵? =
8. 8.3.2 × 10⁷ =
9. 9.What is the value of 3⁵ × 3⁻¹? =
10. 10.Write 4⁴ × 4⁸ as a single power 4ⁿ. What is n?
11. 11.Write 4.9 × 10⁻¹ as a decimal. =
12. 12.What is the value of 2⁸? =
13. 13.What is the value of (2/5)⁻¹? =
14. 14.What is the value of 5⁶ × 5⁻³? =
15. 15.What is the value of 8⁵? =
16. 16.What is the value of (1/5)⁻¹? =
17. 17.Write 9.2 × 10⁻³ as a decimal. =
18. 18.What is the value of 2¹²? =
19. 19.What is the value of 5² × 5⁻⁵? =
20. 20.What is the value of 10³? =
21. 21.Write 6,40,000 in standard form as 6.4 × 10ⁿ. What is n?
22. 22.Write 9.6 × 10⁻⁴ as a decimal. =
23. 23.What is the value of 10⁴ × 10⁻¹? =
24. 24.What is the value of 5⁴ × 5⁻³? =
25. 25.What is the value of 10¹ × 10⁻²? =
26. 26.Write (5³)⁸ as a single power 5ⁿ. What is n?
27. 27.Write 9⁸ × 9⁸ as a single power 9ⁿ. What is n?
28. 28.Write 3 × 10⁻¹ as a decimal. =
29. 29.Write (7²)³ as a single power 7ⁿ. What is n?
30. 30.7 × 10³ =
31. 31.4.7 × 10² =
32. 32.Write 6.4 × 10⁻⁴ as a decimal. =
33. 33.What is the value of 5³ × 5⁻⁵? =
34. 34.Write 6.3 × 10⁻² as a decimal. =
35. 35.What is the value of 5⁻² (as a fraction)? =
36. 36.What is the value of 5⁴ × 5⁻⁴? =
37. 37.Write 3.8 × 10⁻⁴ as a decimal. =
38. 38.What is the value of 7⁴? =
39. 39.What is the value of 6³? =
40. 40.Write 5² × 5⁶ as a single power 5ⁿ. What is n?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets