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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 996 · 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 10⁶ × 10⁻⁴? =
  2. 2.What is the value of 3³ × 3⁻³? =
  3. 3.What is the value of 3⁶ × 3⁻⁵? =
  4. 4.What is the value of 4⁻² (as a fraction)? =
  5. 5.Write 6.7 × 10⁻¹ as a decimal. =
  6. 6.Write 4.7 × 10⁻⁴ as a decimal. =
  7. 7.7.9 × 10⁶ =
  8. 8.What is the value of 2⁻⁶ (as a fraction)? =
  9. 9.What is the value of 9³? =
  10. 10.What is the value of 5⁶ × 5⁻¹? =
  11. 11.What is the value of 9²? =
  12. 12.Write 6³ × 6⁶ as a single power 6ⁿ. What is n?
  13. 13.Write 3.3 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of (7/8)⁻¹? =
  15. 15.What is the value of 3⁻⁵ (as a fraction)? =
  16. 16.What is the value of 5² × 5⁻⁶? =
  17. 17.What is the value of 4⁷? =
  18. 18.Write 4⁷ × 4⁴ as a single power 4ⁿ. What is n?
  19. 19.What is the value of 2² × 2⁻⁴? =
  20. 20.Write 2 × 10⁻³ as a decimal. =
  21. 21.What is the value of 9⁴? =
  22. 22.What is the value of (1/4)⁻¹? =
  23. 23.Write 6.1 × 10⁻⁴ as a decimal. =
  24. 24.Write 3¹⁵ ÷ 3⁶ as a single power 3ⁿ. What is n?
  25. 25.Write (3²)⁷ as a single power 3ⁿ. What is n?
  26. 26.What is the value of 3⁴ × 3⁻²? =
  27. 27.What is the value of 2⁻⁵ (as a fraction)? =
  28. 28.What is the value of (1/3)⁻²? =
  29. 29.What is the value of 2⁶? =
  30. 30.Write (9³)⁶ as a single power 9ⁿ. What is n?
  31. 31.Write 5.6 × 10⁻³ as a decimal. =
  32. 32.What is the value of 10⁵ × 10⁻⁶? =
  33. 33.Write (5⁵)² as a single power 5ⁿ. What is n?
  34. 34.What is the value of 10⁵? =
  35. 35.Write 7.1 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 2¹⁴? =
  37. 37.What is the value of (5/9)⁻¹? =
  38. 38.Write (4⁴)³ as a single power 4ⁿ. What is n?
  39. 39.What is the value of 2⁵ × 2⁻²? =
  40. 40.8.8 × 10⁷ =

Answer key

  1. 100
  2. 1
  3. 3
  4. 1/16
  5. 0.67
  6. 0.00047
  7. 7900000
  8. 1/64
  9. 729
  10. 3125
  11. 81
  12. 9
  13. 0.00033
  14. 8/7
  15. 1/243
  16. 1/625
  17. 16384
  18. 11
  19. 1/4
  20. 0.002
  21. 6561
  22. 4
  23. 0.00061
  24. 9
  25. 14
  26. 9
  27. 1/32
  28. 9
  29. 64
  30. 18
  31. 0.0056
  32. 1/10
  33. 10
  34. 100000
  35. 0.71
  36. 16384
  37. 9/5
  38. 12
  39. 8
  40. 88000000

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