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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 149 · 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 (7/9)⁻²? =
  2. 2.Write 6⁶ ÷ 6³ as a single power 6ⁿ. What is n?
  3. 3.Write 5 × 10⁻¹ as a decimal. =
  4. 4.What is the value of 2⁴? =
  5. 5.What is the value of 2⁷? =
  6. 6.What is the value of 7⁻³ (as a fraction)? =
  7. 7.6.9 × 10⁵ =
  8. 8.5.3 × 10² =
  9. 9.Write 2.2 × 10⁻¹ as a decimal. =
  10. 10.What is the value of 4²? =
  11. 11.What is the value of (1/7)⁻¹? =
  12. 12.What is the value of 8⁵? =
  13. 13.Write 2¹⁴ ÷ 2⁷ as a single power 2ⁿ. What is n?
  14. 14.Write 4.1 × 10⁻³ as a decimal. =
  15. 15.What is the value of (8/9)⁻²? =
  16. 16.What is the value of 3³ × 3⁻¹? =
  17. 17.What is the value of 3⁵ × 3⁻²? =
  18. 18.What is the value of 10³? =
  19. 19.Write 1.6 × 10⁻⁴ as a decimal. =
  20. 20.What is the value of 4⁵? =
  21. 21.Write 2⁶ × 2³ as a single power 2ⁿ. What is n?
  22. 22.What is the value of 4⁻⁴ (as a fraction)? =
  23. 23.Write 8⁹ × 8⁹ as a single power 8ⁿ. What is n?
  24. 24.Write 3⁸ ÷ 3³ as a single power 3ⁿ. What is n?
  25. 25.Write 5 × 10⁻² as a decimal. =
  26. 26.Write 8.5 × 10⁻² as a decimal. =
  27. 27.Write 9.9 × 10⁻³ as a decimal. =
  28. 28.What is the value of (4/5)⁻¹? =
  29. 29.Write 5.1 × 10⁻⁴ as a decimal. =
  30. 30.Write 1.3 × 10⁻² as a decimal. =
  31. 31.What is the value of (5/7)⁻²? =
  32. 32.Write 2,900 in standard form as 2.9 × 10ⁿ. What is n?
  33. 33.What is the value of 4⁻³ (as a fraction)? =
  34. 34.What is the value of 4⁸? =
  35. 35.What is the value of 2¹¹? =
  36. 36.What is the value of 2¹⁶? =
  37. 37.Write 4.2 × 10⁻³ as a decimal. =
  38. 38.What is the value of 5³ × 5⁻⁵? =
  39. 39.Write 6.8 × 10⁻¹ as a decimal. =
  40. 40.What is the value of (4/7)⁻¹? =

Answer key

  1. 81/49
  2. 3
  3. 0.5
  4. 16
  5. 128
  6. 1/343
  7. 690000
  8. 530
  9. 0.22
  10. 16
  11. 7
  12. 32768
  13. 7
  14. 0.0041
  15. 81/64
  16. 9
  17. 27
  18. 1000
  19. 0.00016
  20. 1024
  21. 9
  22. 1/256
  23. 18
  24. 5
  25. 0.05
  26. 0.085
  27. 0.0099
  28. 5/4
  29. 0.00051
  30. 0.013
  31. 49/25
  32. 3
  33. 1/64
  34. 65536
  35. 2048
  36. 65536
  37. 0.0042
  38. 1/25
  39. 0.68
  40. 7/4

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