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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 473 · 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.What is the value of 2⁻⁴ (as a fraction)? =
  2. 2.What is the value of (1/2)⁻²? =
  3. 3.4.3 × 10⁵ =
  4. 4.What is the value of 2⁸? =
  5. 5.What is the value of 4⁴? =
  6. 6.Write 7.6 × 10⁻² as a decimal. =
  7. 7.2.6 × 10⁵ =
  8. 8.Write 6⁶ ÷ 6² as a single power 6ⁿ. What is n?
  9. 9.What is the value of 5⁴ × 5⁻⁶? =
  10. 10.What is the value of 8⁻³ (as a fraction)? =
  11. 11.Write 9.3 × 10⁻¹ as a decimal. =
  12. 12.What is the value of (3/8)⁻²? =
  13. 13.What is the value of 2²? =
  14. 14.Write (9⁸)³ as a single power 9ⁿ. What is n?
  15. 15.Write 8⁴ × 8⁶ as a single power 8ⁿ. What is n?
  16. 16.3.3 × 10³ =
  17. 17.What is the value of 5⁻⁴ (as a fraction)? =
  18. 18.What is the value of 2⁹? =
  19. 19.Write (4⁴)⁷ as a single power 4ⁿ. What is n?
  20. 20.2.8 × 10⁵ =
  21. 21.Write 8.5 × 10⁻³ as a decimal. =
  22. 22.Write 9¹⁵ ÷ 9⁸ as a single power 9ⁿ. What is n?
  23. 23.What is the value of 7²? =
  24. 24.Write 8.6 × 10⁻⁴ as a decimal. =
  25. 25.Write (6⁸)⁶ as a single power 6ⁿ. What is n?
  26. 26.What is the value of 3⁷? =
  27. 27.Write 6.5 × 10⁻² as a decimal. =
  28. 28.What is the value of (2/9)⁻²? =
  29. 29.Write 4,700 in standard form as 4.7 × 10ⁿ. What is n?
  30. 30.Write 8.1 × 10⁻⁴ as a decimal. =
  31. 31.Write 63,000 in standard form as 6.3 × 10ⁿ. What is n?
  32. 32.Write (4⁴)³ as a single power 4ⁿ. What is n?
  33. 33.Write 6,600 in standard form as 6.6 × 10ⁿ. What is n?
  34. 34.Write 3.9 × 10⁻² as a decimal. =
  35. 35.Write 9.9 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of (1/4)⁻¹? =
  37. 37.Write 3.6 × 10⁻³ as a decimal. =
  38. 38.What is the value of 4⁶? =
  39. 39.Write 2⁵ ÷ 2³ as a single power 2ⁿ. What is n?
  40. 40.What is the value of (3/7)⁻²? =

Answer key

  1. 1/16
  2. 4
  3. 430000
  4. 256
  5. 256
  6. 0.076
  7. 260000
  8. 4
  9. 1/25
  10. 1/512
  11. 0.93
  12. 64/9
  13. 4
  14. 24
  15. 10
  16. 3300
  17. 1/625
  18. 512
  19. 28
  20. 280000
  21. 0.0085
  22. 7
  23. 49
  24. 0.00086
  25. 48
  26. 2187
  27. 0.065
  28. 81/4
  29. 3
  30. 0.00081
  31. 4
  32. 12
  33. 3
  34. 0.039
  35. 0.00099
  36. 4
  37. 0.0036
  38. 4096
  39. 2
  40. 49/9

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