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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 585 · 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 2⁴ ÷ 2² as a single power 2ⁿ. What is n?
  2. 2.What is the value of 5¹ × 5⁻⁶? =
  3. 3.6.1 × 10⁵ =
  4. 4.What is the value of (4/7)⁻²? =
  5. 5.What is the value of 2⁶ × 2⁻²? =
  6. 6.Write 70,000 in standard form as 7 × 10ⁿ. What is n?
  7. 7.Write 3¹⁶ ÷ 3⁸ as a single power 3ⁿ. What is n?
  8. 8.What is the value of 2⁵ × 2⁻¹? =
  9. 9.Write 9⁸ ÷ 9³ as a single power 9ⁿ. What is n?
  10. 10.Write 3.3 × 10⁻³ as a decimal. =
  11. 11.Write (9⁷)⁵ as a single power 9ⁿ. What is n?
  12. 12.Write 9.2 × 10⁻² as a decimal. =
  13. 13.What is the value of 2³? =
  14. 14.Write 4.3 × 10⁻² as a decimal. =
  15. 15.3.1 × 10⁷ =
  16. 16.Write 8¹¹ ÷ 8⁵ as a single power 8ⁿ. What is n?
  17. 17.4.5 × 10² =
  18. 18.Write 2.5 × 10⁻⁴ as a decimal. =
  19. 19.What is the value of 3⁶ × 3⁻³? =
  20. 20.Write 8¹⁵ ÷ 8⁷ as a single power 8ⁿ. What is n?
  21. 21.What is the value of 4²? =
  22. 22.Write 3,70,000 in standard form as 3.7 × 10ⁿ. What is n?
  23. 23.Write 4² × 4² as a single power 4ⁿ. What is n?
  24. 24.4.5 × 10⁷ =
  25. 25.Write 2 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 2⁻³ (as a fraction)? =
  27. 27.Write 4.6 × 10⁻³ as a decimal. =
  28. 28.What is the value of 3⁶? =
  29. 29.What is the value of 4³? =
  30. 30.Write 5³ × 5³ as a single power 5ⁿ. What is n?
  31. 31.What is the value of 3² × 3⁻⁵? =
  32. 32.What is the value of 6⁻² (as a fraction)? =
  33. 33.Write 73,000 in standard form as 7.3 × 10ⁿ. What is n?
  34. 34.What is the value of 5⁵? =
  35. 35.What is the value of 2⁻⁴ (as a fraction)? =
  36. 36.8 × 10⁴ =
  37. 37.What is the value of 4⁻¹ (as a fraction)? =
  38. 38.Write 8⁸ × 8⁸ as a single power 8ⁿ. What is n?
  39. 39.Write 6⁹ ÷ 6³ as a single power 6ⁿ. What is n?
  40. 40.Write 8.3 × 10⁻¹ as a decimal. =

Answer key

  1. 2
  2. 1/3125
  3. 610000
  4. 49/16
  5. 16
  6. 4
  7. 8
  8. 16
  9. 5
  10. 0.0033
  11. 35
  12. 0.092
  13. 8
  14. 0.043
  15. 31000000
  16. 6
  17. 450
  18. 0.00025
  19. 27
  20. 8
  21. 16
  22. 5
  23. 4
  24. 45000000
  25. 0.2
  26. 1/8
  27. 0.0046
  28. 729
  29. 64
  30. 6
  31. 1/27
  32. 1/36
  33. 4
  34. 3125
  35. 1/16
  36. 80000
  37. 1/4
  38. 16
  39. 6
  40. 0.83

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