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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 894 · 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 2¹⁰? =
  2. 2.What is the value of 3⁶ × 3⁻³? =
  3. 3.Write (3⁴)⁷ as a single power 3ⁿ. What is n?
  4. 4.What is the value of (7/9)⁻¹? =
  5. 5.What is the value of 4²? =
  6. 6.Write 5⁵ × 5³ as a single power 5ⁿ. What is n?
  7. 7.What is the value of 2⁶ × 2⁻³? =
  8. 8.What is the value of 7³? =
  9. 9.What is the value of 2² × 2⁻²? =
  10. 10.What is the value of 2² × 2⁻⁶? =
  11. 11.3.2 × 10⁵ =
  12. 12.Write 2⁵ × 2⁸ as a single power 2ⁿ. What is n?
  13. 13.What is the value of 3⁸? =
  14. 14.Write 3⁷ × 3⁸ as a single power 3ⁿ. What is n?
  15. 15.What is the value of 8⁻² (as a fraction)? =
  16. 16.What is the value of 2⁵ × 2⁻¹? =
  17. 17.What is the value of 8⁵? =
  18. 18.Write 7.2 × 10⁻³ as a decimal. =
  19. 19.What is the value of 7⁴? =
  20. 20.Write 3⁷ × 3² as a single power 3ⁿ. What is n?
  21. 21.Write 2¹⁰ ÷ 2⁵ as a single power 2ⁿ. What is n?
  22. 22.Write 85,000 in standard form as 8.5 × 10ⁿ. What is n?
  23. 23.What is the value of 2⁻⁷ (as a fraction)? =
  24. 24.Write 3,600 in standard form as 3.6 × 10ⁿ. What is n?
  25. 25.Write 3¹⁰ ÷ 3⁷ as a single power 3ⁿ. What is n?
  26. 26.Write 4¹⁰ ÷ 4⁶ as a single power 4ⁿ. What is n?
  27. 27.What is the value of 2¹²? =
  28. 28.Write 2.8 × 10⁻⁴ as a decimal. =
  29. 29.Write (2⁴)⁶ as a single power 2ⁿ. What is n?
  30. 30.Write 4⁴ × 4² as a single power 4ⁿ. What is n?
  31. 31.What is the value of (1/4)⁻¹? =
  32. 32.7.5 × 10⁶ =
  33. 33.What is the value of (3/7)⁻²? =
  34. 34.Write 8.3 × 10⁻² as a decimal. =
  35. 35.1.3 × 10⁶ =
  36. 36.What is the value of 2⁵ × 2⁻⁵? =
  37. 37.What is the value of 8²? =
  38. 38.Write (8⁸)⁹ as a single power 8ⁿ. What is n?
  39. 39.What is the value of (1/5)⁻¹? =
  40. 40.What is the value of 5⁶ × 5⁻⁴? =

Answer key

  1. 1024
  2. 27
  3. 28
  4. 9/7
  5. 16
  6. 8
  7. 8
  8. 343
  9. 1
  10. 1/16
  11. 320000
  12. 13
  13. 6561
  14. 15
  15. 1/64
  16. 16
  17. 32768
  18. 0.0072
  19. 2401
  20. 9
  21. 5
  22. 4
  23. 1/128
  24. 3
  25. 3
  26. 4
  27. 4096
  28. 0.00028
  29. 24
  30. 6
  31. 4
  32. 7500000
  33. 49/9
  34. 0.083
  35. 1300000
  36. 1
  37. 64
  38. 72
  39. 5
  40. 25

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