Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 602 · 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. 1.1.3 × 10⁵ =
2. 2.Write 1.6 × 10⁻² as a decimal. =
3. 3.What is the value of 5³ × 5⁻⁶? =
4. 4.What is the value of 8³? =
5. 5.What is the value of 8⁻³ (as a fraction)? =
6. 6.Write 7.2 × 10⁻³ as a decimal. =
7. 7.Write 9³ × 9⁹ as a single power 9ⁿ. What is n?
8. 8.What is the value of 3⁻³ (as a fraction)? =
9. 9.What is the value of 2¹⁵? =
10. 10.8.6 × 10⁷ =
11. 11.Write (3⁷)³ as a single power 3ⁿ. What is n?
12. 12.What is the value of 3¹⁰? =
13. 13.Write 260 in standard form as 2.6 × 10ⁿ. What is n?
14. 14.Write (5⁴)⁷ as a single power 5ⁿ. What is n?
15. 15.2.6 × 10⁷ =
16. 16.Write 2² × 2² as a single power 2ⁿ. What is n?
17. 17.What is the value of (3/4)⁻²? =
18. 18.What is the value of (3/7)⁻²? =
19. 19.Write 2.4 × 10⁻¹ as a decimal. =
20. 20.4.7 × 10⁶ =
21. 21.6.7 × 10³ =
22. 22.What is the value of 2⁷? =
23. 23.What is the value of (7/9)⁻¹? =
24. 24.Write 7⁶ × 7² as a single power 7ⁿ. What is n?
25. 25.Write 7.4 × 10⁻¹ as a decimal. =
26. 26.Write 2.1 × 10⁻¹ as a decimal. =
27. 27.Write (5⁵)⁹ as a single power 5ⁿ. What is n?
28. 28.What is the value of 6³? =
29. 29.What is the value of (1/9)⁻¹? =
30. 30.Write 7¹¹ ÷ 7³ as a single power 7ⁿ. What is n?
31. 31.1.7 × 10⁵ =
32. 32.Write (6⁴)⁴ as a single power 6ⁿ. What is n?
33. 33.What is the value of 2⁵? =
34. 34.Write 8.9 × 10⁻¹ as a decimal. =
35. 35.What is the value of 10³? =
36. 36.4.5 × 10⁵ =
37. 37.Write 5.5 × 10⁻⁴ as a decimal. =
38. 38.Write 1.8 × 10⁻³ as a decimal. =
39. 39.What is the value of 7²? =
40. 40.Write 2⁶ ÷ 2⁴ as a single power 2ⁿ. What is n?

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