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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 477 · 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 2¹ × 2⁻¹? =
  2. 2.What is the value of 5² × 5⁻⁴? =
  3. 3.What is the value of 5⁴? =
  4. 4.What is the value of 2⁴? =
  5. 5.What is the value of 2⁻⁹ (as a fraction)? =
  6. 6.Write 3.2 × 10⁻² as a decimal. =
  7. 7.What is the value of 10⁵? =
  8. 8.Write 9.1 × 10⁻¹ as a decimal. =
  9. 9.Write 78,000 in standard form as 7.8 × 10ⁿ. What is n?
  10. 10.What is the value of (1/7)⁻¹? =
  11. 11.Write 4¹² ÷ 4⁹ as a single power 4ⁿ. What is n?
  12. 12.What is the value of 2⁴ × 2⁻³? =
  13. 13.3.2 × 10³ =
  14. 14.Write 2.4 × 10⁻⁴ as a decimal. =
  15. 15.What is the value of 4⁻² (as a fraction)? =
  16. 16.1.1 × 10² =
  17. 17.What is the value of 3⁵ × 3⁻²? =
  18. 18.Write 8.3 × 10⁻⁴ as a decimal. =
  19. 19.What is the value of 5⁻⁴ (as a fraction)? =
  20. 20.Write (7⁸)³ as a single power 7ⁿ. What is n?
  21. 21.What is the value of 5⁵ × 5⁻³? =
  22. 22.Write 5 × 10⁻¹ as a decimal. =
  23. 23.What is the value of 3⁵ × 3⁻⁶? =
  24. 24.Write 87,00,000 in standard form as 8.7 × 10ⁿ. What is n?
  25. 25.What is the value of 5⁶ × 5⁻¹? =
  26. 26.What is the value of 6²? =
  27. 27.What is the value of 2¹ × 2⁻⁴? =
  28. 28.What is the value of 3³ × 3⁻³? =
  29. 29.What is the value of 2⁴ × 2⁻⁴? =
  30. 30.2.5 × 10² =
  31. 31.What is the value of (1/3)⁻¹? =
  32. 32.What is the value of 2³? =
  33. 33.What is the value of 2⁻⁶ (as a fraction)? =
  34. 34.What is the value of 8⁻¹ (as a fraction)? =
  35. 35.Write 1.2 × 10⁻² as a decimal. =
  36. 36.Write 7.5 × 10⁻³ as a decimal. =
  37. 37.1.9 × 10⁴ =
  38. 38.6.2 × 10³ =
  39. 39.Write 9.9 × 10⁻³ as a decimal. =
  40. 40.What is the value of 8⁴? =

Answer key

  1. 1
  2. 1/25
  3. 625
  4. 16
  5. 1/512
  6. 0.032
  7. 100000
  8. 0.91
  9. 4
  10. 7
  11. 3
  12. 2
  13. 3200
  14. 0.00024
  15. 1/16
  16. 110
  17. 27
  18. 0.00083
  19. 1/625
  20. 24
  21. 25
  22. 0.5
  23. 1/3
  24. 6
  25. 3125
  26. 36
  27. 1/8
  28. 1
  29. 1
  30. 250
  31. 3
  32. 8
  33. 1/64
  34. 1/8
  35. 0.012
  36. 0.0075
  37. 19000
  38. 6200
  39. 0.0099
  40. 4096

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