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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 974 · 40 sums
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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.

NameDateTime takenScore ___ / 40
  1. 1.Write 6,40,000 in standard form as 6.4 × 10ⁿ. What is n?
  2. 2.What is the value of 3⁶ × 3⁻¹? =
  3. 3.Write 5.7 × 10⁻¹ as a decimal. =
  4. 4.Write 7¹² ÷ 7⁷ as a single power 7ⁿ. What is n?
  5. 5.Write 2⁶ × 2² as a single power 2ⁿ. What is n?
  6. 6.Write 4⁹ × 4⁷ as a single power 4ⁿ. What is n?
  7. 7.Write 4⁹ ÷ 4² as a single power 4ⁿ. What is n?
  8. 8.What is the value of 3⁶? =
  9. 9.Write 7.8 × 10⁻² as a decimal. =
  10. 10.What is the value of 5⁵ × 5⁻¹? =
  11. 11.Write 3⁷ ÷ 3² as a single power 3ⁿ. What is n?
  12. 12.Write 76,00,000 in standard form as 7.6 × 10ⁿ. What is n?
  13. 13.Write (4⁵)⁸ as a single power 4ⁿ. What is n?
  14. 14.What is the value of 3⁹? =
  15. 15.What is the value of 2⁵? =
  16. 16.3.5 × 10³ =
  17. 17.Write 3.3 × 10⁻² as a decimal. =
  18. 18.What is the value of 2⁻⁵ (as a fraction)? =
  19. 19.What is the value of 7⁻³ (as a fraction)? =
  20. 20.Write 9.9 × 10⁻³ as a decimal. =
  21. 21.Write 1.3 × 10⁻¹ as a decimal. =
  22. 22.Write 7¹⁰ ÷ 7⁸ as a single power 7ⁿ. What is n?
  23. 23.What is the value of 2⁷? =
  24. 24.What is the value of 2³ × 2⁻⁵? =
  25. 25.Write (3⁴)² as a single power 3ⁿ. What is n?
  26. 26.What is the value of 5⁻¹ (as a fraction)? =
  27. 27.Write 4.2 × 10⁻⁴ as a decimal. =
  28. 28.What is the value of 5⁴? =
  29. 29.What is the value of 4²? =
  30. 30.What is the value of 2⁶? =
  31. 31.7.3 × 10² =
  32. 32.What is the value of 6⁴? =
  33. 33.Write 2.9 × 10⁻³ as a decimal. =
  34. 34.What is the value of (5/8)⁻¹? =
  35. 35.What is the value of 3² × 3⁻¹? =
  36. 36.Write 6.7 × 10⁻² as a decimal. =
  37. 37.What is the value of 9⁻³ (as a fraction)? =
  38. 38.What is the value of (1/2)⁻²? =
  39. 39.What is the value of (1/5)⁻¹? =
  40. 40.Write 4² × 4⁸ as a single power 4ⁿ. What is n?

Answer key

  1. 5
  2. 243
  3. 0.57
  4. 5
  5. 8
  6. 16
  7. 7
  8. 729
  9. 0.078
  10. 625
  11. 5
  12. 6
  13. 40
  14. 19683
  15. 32
  16. 3500
  17. 0.033
  18. 1/32
  19. 1/343
  20. 0.0099
  21. 0.13
  22. 2
  23. 128
  24. 1/4
  25. 8
  26. 1/5
  27. 0.00042
  28. 625
  29. 16
  30. 64
  31. 730
  32. 1296
  33. 0.0029
  34. 8/5
  35. 3
  36. 0.067
  37. 1/729
  38. 4
  39. 5
  40. 10

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