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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 907 · 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 9³? =
  2. 2.Write 5² × 5⁵ as a single power 5ⁿ. What is n?
  3. 3.What is the value of 2¹³? =
  4. 4.Write 980 in standard form as 9.8 × 10ⁿ. What is n?
  5. 5.Write 8.9 × 10⁻⁴ as a decimal. =
  6. 6.Write 3.1 × 10⁻⁴ as a decimal. =
  7. 7.What is the value of (7/8)⁻²? =
  8. 8.Write 6² × 6⁶ as a single power 6ⁿ. What is n?
  9. 9.Write 8.5 × 10⁻⁴ as a decimal. =
  10. 10.What is the value of 9⁵? =
  11. 11.Write 90,000 in standard form as 9 × 10ⁿ. What is n?
  12. 12.What is the value of 2¹ × 2⁻²? =
  13. 13.Write 8,000 in standard form as 8 × 10ⁿ. What is n?
  14. 14.What is the value of 3⁻³ (as a fraction)? =
  15. 15.What is the value of 3⁸? =
  16. 16.Write 2.2 × 10⁻³ as a decimal. =
  17. 17.Write 7,50,00,000 in standard form as 7.5 × 10ⁿ. What is n?
  18. 18.What is the value of 2¹ × 2⁻⁴? =
  19. 19.What is the value of 5² × 5⁻⁵? =
  20. 20.Write 3.4 × 10⁻⁴ as a decimal. =
  21. 21.Write 1.3 × 10⁻¹ as a decimal. =
  22. 22.Write 7.5 × 10⁻³ as a decimal. =
  23. 23.What is the value of 2²? =
  24. 24.What is the value of 2¹¹? =
  25. 25.What is the value of 3³ × 3⁻⁴? =
  26. 26.What is the value of 10⁻³ (as a fraction)? =
  27. 27.4.5 × 10⁷ =
  28. 28.What is the value of 2³ × 2⁻⁶? =
  29. 29.Write 6¹⁴ ÷ 6⁶ as a single power 6ⁿ. What is n?
  30. 30.What is the value of 7³? =
  31. 31.What is the value of (1/3)⁻¹? =
  32. 32.Write (9⁸)⁸ as a single power 9ⁿ. What is n?
  33. 33.What is the value of 4⁻² (as a fraction)? =
  34. 34.What is the value of 9⁻³ (as a fraction)? =
  35. 35.Write 4 × 10⁻¹ as a decimal. =
  36. 36.Write 2³ × 2⁵ as a single power 2ⁿ. What is n?
  37. 37.What is the value of 2¹⁰? =
  38. 38.Write 9.1 × 10⁻⁴ as a decimal. =
  39. 39.Write 1.9 × 10⁻¹ as a decimal. =
  40. 40.What is the value of 2¹²? =

Answer key

  1. 729
  2. 7
  3. 8192
  4. 2
  5. 0.00089
  6. 0.00031
  7. 64/49
  8. 8
  9. 0.00085
  10. 59049
  11. 4
  12. 1/2
  13. 3
  14. 1/27
  15. 6561
  16. 0.0022
  17. 7
  18. 1/8
  19. 1/125
  20. 0.00034
  21. 0.13
  22. 0.0075
  23. 4
  24. 2048
  25. 1/3
  26. 1/1000
  27. 45000000
  28. 1/8
  29. 8
  30. 343
  31. 3
  32. 64
  33. 1/16
  34. 1/729
  35. 0.4
  36. 8
  37. 1024
  38. 0.00091
  39. 0.19
  40. 4096

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