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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 676 · 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 5⁴? =
  2. 2.What is the value of 4⁴? =
  3. 3.Write 6.8 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of 2⁹? =
  5. 5.Write 3⁷ × 3² as a single power 3ⁿ. What is n?
  6. 6.What is the value of 10³ × 10⁻¹? =
  7. 7.What is the value of 4⁻³ (as a fraction)? =
  8. 8.Write 2¹³ ÷ 2⁶ as a single power 2ⁿ. What is n?
  9. 9.1.8 × 10⁴ =
  10. 10.What is the value of 2³ × 2⁻²? =
  11. 11.Write 5,800 in standard form as 5.8 × 10ⁿ. What is n?
  12. 12.What is the value of 4⁻² (as a fraction)? =
  13. 13.What is the value of (1/7)⁻²? =
  14. 14.What is the value of 3⁴ × 3⁻²? =
  15. 15.Write 6⁷ × 6² as a single power 6ⁿ. What is n?
  16. 16.What is the value of 2⁻⁷ (as a fraction)? =
  17. 17.What is the value of (6/7)⁻²? =
  18. 18.What is the value of 7³? =
  19. 19.What is the value of 3⁻⁴ (as a fraction)? =
  20. 20.8.7 × 10⁴ =
  21. 21.Write 1.8 × 10⁻² as a decimal. =
  22. 22.Write 25,000 in standard form as 2.5 × 10ⁿ. What is n?
  23. 23.Write 7.6 × 10⁻¹ as a decimal. =
  24. 24.Write 2.8 × 10⁻³ as a decimal. =
  25. 25.What is the value of 2⁶? =
  26. 26.2.6 × 10⁴ =
  27. 27.Write 2⁷ × 2² as a single power 2ⁿ. What is n?
  28. 28.What is the value of (3/8)⁻¹? =
  29. 29.Write 5⁹ ÷ 5³ as a single power 5ⁿ. What is n?
  30. 30.What is the value of 3⁴ × 3⁻⁵? =
  31. 31.Write 6 × 10⁻⁴ as a decimal. =
  32. 32.Write 2¹¹ ÷ 2⁶ as a single power 2ⁿ. What is n?
  33. 33.Write 4¹² ÷ 4⁶ as a single power 4ⁿ. What is n?
  34. 34.Write 2.4 × 10⁻² as a decimal. =
  35. 35.What is the value of 6⁻¹ (as a fraction)? =
  36. 36.Write 1.7 × 10⁻¹ as a decimal. =
  37. 37.Write 3.9 × 10⁻² as a decimal. =
  38. 38.What is the value of (1/3)⁻²? =
  39. 39.Write 2.1 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of 2³ × 2⁻⁴? =

Answer key

  1. 625
  2. 256
  3. 0.00068
  4. 512
  5. 9
  6. 100
  7. 1/64
  8. 7
  9. 18000
  10. 2
  11. 3
  12. 1/16
  13. 49
  14. 9
  15. 9
  16. 1/128
  17. 49/36
  18. 343
  19. 1/81
  20. 87000
  21. 0.018
  22. 4
  23. 0.76
  24. 0.0028
  25. 64
  26. 26000
  27. 9
  28. 8/3
  29. 6
  30. 1/3
  31. 0.0006
  32. 5
  33. 6
  34. 0.024
  35. 1/6
  36. 0.17
  37. 0.039
  38. 9
  39. 0.00021
  40. 1/2

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