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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 478 · 40 sums
TalentJR

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 3⁻³ (as a fraction)? =
  2. 2.Write 9² × 9⁶ as a single power 9ⁿ. What is n?
  3. 3.What is the value of 3⁴? =
  4. 4.What is the value of (2/5)⁻²? =
  5. 5.What is the value of 5³ × 5⁻⁶? =
  6. 6.Write 8.2 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 5³? =
  8. 8.Write 4¹⁰ ÷ 4³ as a single power 4ⁿ. What is n?
  9. 9.What is the value of 2²? =
  10. 10.Write 3.2 × 10⁻³ as a decimal. =
  11. 11.What is the value of 3⁹? =
  12. 12.What is the value of 2⁶ × 2⁻⁴? =
  13. 13.What is the value of 2⁵ × 2⁻⁵? =
  14. 14.Write 5 × 10⁻³ as a decimal. =
  15. 15.What is the value of 3¹⁰? =
  16. 16.What is the value of 9⁻³ (as a fraction)? =
  17. 17.What is the value of 3¹ × 3⁻¹? =
  18. 18.1.8 × 10⁶ =
  19. 19.Write 9,700 in standard form as 9.7 × 10ⁿ. What is n?
  20. 20.What is the value of 5³ × 5⁻⁵? =
  21. 21.Write 4⁹ ÷ 4² as a single power 4ⁿ. What is n?
  22. 22.Write 4³ × 4³ as a single power 4ⁿ. What is n?
  23. 23.5.5 × 10³ =
  24. 24.Write 1.4 × 10⁻⁴ as a decimal. =
  25. 25.What is the value of 3²? =
  26. 26.What is the value of 2⁴? =
  27. 27.What is the value of (1/4)⁻²? =
  28. 28.Write 5.4 × 10⁻² as a decimal. =
  29. 29.Write (8²)² as a single power 8ⁿ. What is n?
  30. 30.What is the value of 5⁵ × 5⁻⁵? =
  31. 31.Write 7.2 × 10⁻⁴ as a decimal. =
  32. 32.What is the value of 2³ × 2⁻¹? =
  33. 33.What is the value of (5/8)⁻¹? =
  34. 34.Write 6.2 × 10⁻⁴ as a decimal. =
  35. 35.What is the value of 4⁷? =
  36. 36.Write 2.6 × 10⁻² as a decimal. =
  37. 37.Write 9¹¹ ÷ 9² as a single power 9ⁿ. What is n?
  38. 38.Write 5.6 × 10⁻³ as a decimal. =
  39. 39.Write 2,60,00,000 in standard form as 2.6 × 10ⁿ. What is n?
  40. 40.Write 3.7 × 10⁻³ as a decimal. =

Answer key

  1. 1/27
  2. 8
  3. 81
  4. 25/4
  5. 1/125
  6. 0.82
  7. 125
  8. 7
  9. 4
  10. 0.0032
  11. 19683
  12. 4
  13. 1
  14. 0.005
  15. 59049
  16. 1/729
  17. 1
  18. 1800000
  19. 3
  20. 1/25
  21. 7
  22. 6
  23. 5500
  24. 0.00014
  25. 9
  26. 16
  27. 16
  28. 0.054
  29. 4
  30. 1
  31. 0.00072
  32. 4
  33. 8/5
  34. 0.00062
  35. 16384
  36. 0.026
  37. 9
  38. 0.0056
  39. 7
  40. 0.0037

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