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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 592 · 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 5⁷? =
  2. 2.Write 7³ × 7² as a single power 7ⁿ. What is n?
  3. 3.What is the value of 9⁻¹ (as a fraction)? =
  4. 4.What is the value of 2² × 2⁻⁶? =
  5. 5.8.5 × 10⁴ =
  6. 6.Write 8.9 × 10⁻⁴ as a decimal. =
  7. 7.What is the value of 2¹ × 2⁻⁵? =
  8. 8.What is the value of 8⁻³ (as a fraction)? =
  9. 9.What is the value of 2¹¹? =
  10. 10.What is the value of 3³ × 3⁻⁵? =
  11. 11.What is the value of 2³ × 2⁻¹? =
  12. 12.What is the value of 2⁵ × 2⁻²? =
  13. 13.What is the value of (3/4)⁻²? =
  14. 14.What is the value of 3⁻¹ (as a fraction)? =
  15. 15.What is the value of 2³? =
  16. 16.Write 8 × 10⁻⁴ as a decimal. =
  17. 17.What is the value of 2²? =
  18. 18.Write 150 in standard form as 1.5 × 10ⁿ. What is n?
  19. 19.Write 9.6 × 10⁻² as a decimal. =
  20. 20.What is the value of 10² × 10⁻¹? =
  21. 21.Write 2³ × 2⁹ as a single power 2ⁿ. What is n?
  22. 22.Write 4.4 × 10⁻³ as a decimal. =
  23. 23.9.7 × 10⁴ =
  24. 24.Write 3⁹ × 3⁴ as a single power 3ⁿ. What is n?
  25. 25.What is the value of 3⁶ × 3⁻⁶? =
  26. 26.Write 2.1 × 10⁻² as a decimal. =
  27. 27.Write 6² × 6⁹ as a single power 6ⁿ. What is n?
  28. 28.What is the value of 10⁻³ (as a fraction)? =
  29. 29.What is the value of 8⁻² (as a fraction)? =
  30. 30.What is the value of 3³ × 3⁻²? =
  31. 31.2.2 × 10² =
  32. 32.Write (3³)⁵ as a single power 3ⁿ. What is n?
  33. 33.What is the value of (1/8)⁻²? =
  34. 34.What is the value of 3⁻² (as a fraction)? =
  35. 35.What is the value of 3⁻⁴ (as a fraction)? =
  36. 36.What is the value of 2³ × 2⁻⁵? =
  37. 37.Write 9.6 × 10⁻¹ as a decimal. =
  38. 38.Write 7.4 × 10⁻¹ as a decimal. =
  39. 39.Write 6.1 × 10⁻³ as a decimal. =
  40. 40.What is the value of 2¹ × 2⁻²? =

Answer key

  1. 78125
  2. 5
  3. 1/9
  4. 1/16
  5. 85000
  6. 0.00089
  7. 1/16
  8. 1/512
  9. 2048
  10. 1/9
  11. 4
  12. 8
  13. 16/9
  14. 1/3
  15. 8
  16. 0.0008
  17. 4
  18. 2
  19. 0.096
  20. 10
  21. 12
  22. 0.0044
  23. 97000
  24. 13
  25. 1
  26. 0.021
  27. 11
  28. 1/1000
  29. 1/64
  30. 3
  31. 220
  32. 15
  33. 64
  34. 1/9
  35. 1/81
  36. 1/4
  37. 0.96
  38. 0.74
  39. 0.0061
  40. 1/2

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