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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 531 · 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.Write 2.5 × 10⁻³ as a decimal. =
  2. 2.What is the value of 2⁸? =
  3. 3.What is the value of 2² × 2⁻⁶? =
  4. 4.Write 5⁵ × 5⁷ as a single power 5ⁿ. What is n?
  5. 5.What is the value of 2⁻³ (as a fraction)? =
  6. 6.What is the value of 2⁷? =
  7. 7.What is the value of 2² × 2⁻²? =
  8. 8.Write 3.8 × 10⁻⁴ as a decimal. =
  9. 9.What is the value of 2¹ × 2⁻³? =
  10. 10.Write (6⁹)⁸ as a single power 6ⁿ. What is n?
  11. 11.Write 7⁸ ÷ 7⁶ as a single power 7ⁿ. What is n?
  12. 12.Write (8³)⁹ as a single power 8ⁿ. What is n?
  13. 13.Write 6⁹ × 6⁴ as a single power 6ⁿ. What is n?
  14. 14.What is the value of (1/8)⁻¹? =
  15. 15.Write 1.4 × 10⁻² as a decimal. =
  16. 16.Write 2¹¹ ÷ 2² as a single power 2ⁿ. What is n?
  17. 17.Write (4²)⁷ as a single power 4ⁿ. What is n?
  18. 18.Write 2¹¹ ÷ 2⁶ as a single power 2ⁿ. What is n?
  19. 19.What is the value of (2/9)⁻¹? =
  20. 20.What is the value of 2³? =
  21. 21.2.1 × 10² =
  22. 22.What is the value of 5¹ × 5⁻²? =
  23. 23.Write 4.5 × 10⁻² as a decimal. =
  24. 24.What is the value of 2⁻⁷ (as a fraction)? =
  25. 25.What is the value of 7³? =
  26. 26.Write (8⁸)⁵ as a single power 8ⁿ. What is n?
  27. 27.Write 8⁴ × 8³ as a single power 8ⁿ. What is n?
  28. 28.What is the value of 10² × 10⁻⁶? =
  29. 29.Write 5.8 × 10⁻² as a decimal. =
  30. 30.What is the value of (5/9)⁻¹? =
  31. 31.What is the value of (6/7)⁻¹? =
  32. 32.2.8 × 10² =
  33. 33.What is the value of 9⁻² (as a fraction)? =
  34. 34.Write 3.2 × 10⁻¹ as a decimal. =
  35. 35.Write 7.4 × 10⁻² as a decimal. =
  36. 36.Write 5¹² ÷ 5⁹ as a single power 5ⁿ. What is n?
  37. 37.Write 4² × 4⁹ as a single power 4ⁿ. What is n?
  38. 38.Write 3.4 × 10⁻² as a decimal. =
  39. 39.What is the value of 10³ × 10⁻⁵? =
  40. 40.What is the value of 6⁴? =

Answer key

  1. 0.0025
  2. 256
  3. 1/16
  4. 12
  5. 1/8
  6. 128
  7. 1
  8. 0.00038
  9. 1/4
  10. 72
  11. 2
  12. 27
  13. 13
  14. 8
  15. 0.014
  16. 9
  17. 14
  18. 5
  19. 9/2
  20. 8
  21. 210
  22. 1/5
  23. 0.045
  24. 1/128
  25. 343
  26. 40
  27. 7
  28. 1/10000
  29. 0.058
  30. 9/5
  31. 7/6
  32. 280
  33. 1/81
  34. 0.32
  35. 0.074
  36. 3
  37. 11
  38. 0.034
  39. 1/100
  40. 1296

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