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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 803 · 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 (3/7)⁻¹? =
  2. 2.What is the value of 5⁶ × 5⁻¹? =
  3. 3.What is the value of 4⁷? =
  4. 4.What is the value of 2⁵ × 2⁻²? =
  5. 5.Write 6.9 × 10⁻³ as a decimal. =
  6. 6.5.9 × 10³ =
  7. 7.What is the value of 5⁵ × 5⁻⁵? =
  8. 8.Write 9,50,000 in standard form as 9.5 × 10ⁿ. What is n?
  9. 9.What is the value of (7/8)⁻¹? =
  10. 10.What is the value of 2⁻⁸ (as a fraction)? =
  11. 11.Write 3⁹ × 3⁹ as a single power 3ⁿ. What is n?
  12. 12.Write 4³ × 4³ as a single power 4ⁿ. What is n?
  13. 13.What is the value of 2²? =
  14. 14.What is the value of 9⁴? =
  15. 15.What is the value of 3⁵ × 3⁻¹? =
  16. 16.Write 9.3 × 10⁻¹ as a decimal. =
  17. 17.Write 9⁸ × 9⁸ as a single power 9ⁿ. What is n?
  18. 18.Write 2.4 × 10⁻¹ as a decimal. =
  19. 19.8.4 × 10⁴ =
  20. 20.What is the value of 4⁻⁴ (as a fraction)? =
  21. 21.Write (5⁸)² as a single power 5ⁿ. What is n?
  22. 22.Write 5.4 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of 2⁶ × 2⁻¹? =
  24. 24.4.8 × 10⁵ =
  25. 25.What is the value of (5/8)⁻¹? =
  26. 26.What is the value of 2¹¹? =
  27. 27.What is the value of 3⁸? =
  28. 28.Write 8.8 × 10⁻² as a decimal. =
  29. 29.What is the value of 6²? =
  30. 30.Write 6.7 × 10⁻³ as a decimal. =
  31. 31.What is the value of 3⁴ × 3⁻³? =
  32. 32.What is the value of 2³ × 2⁻⁴? =
  33. 33.Write (8²)² as a single power 8ⁿ. What is n?
  34. 34.Write (6⁴)⁹ as a single power 6ⁿ. What is n?
  35. 35.What is the value of 2² × 2⁻¹? =
  36. 36.What is the value of 10¹ × 10⁻³? =
  37. 37.7.4 × 10² =
  38. 38.Write 59,00,000 in standard form as 5.9 × 10ⁿ. What is n?
  39. 39.Write 2 × 10⁻³ as a decimal. =
  40. 40.What is the value of 5⁻¹ (as a fraction)? =

Answer key

  1. 7/3
  2. 3125
  3. 16384
  4. 8
  5. 0.0069
  6. 5900
  7. 1
  8. 5
  9. 8/7
  10. 1/256
  11. 18
  12. 6
  13. 4
  14. 6561
  15. 81
  16. 0.93
  17. 16
  18. 0.24
  19. 84000
  20. 1/256
  21. 16
  22. 0.00054
  23. 32
  24. 480000
  25. 8/5
  26. 2048
  27. 6561
  28. 0.088
  29. 36
  30. 0.0067
  31. 3
  32. 1/2
  33. 4
  34. 36
  35. 2
  36. 1/100
  37. 740
  38. 6
  39. 0.002
  40. 1/5

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