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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 314 · 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 5³ × 5⁻³? =
  2. 2.Write 6⁹ × 6³ as a single power 6ⁿ. What is n?
  3. 3.What is the value of (6/7)⁻¹? =
  4. 4.What is the value of 3⁹? =
  5. 5.Write (7⁵)⁴ as a single power 7ⁿ. What is n?
  6. 6.Write 8.6 × 10⁻² as a decimal. =
  7. 7.What is the value of (5/9)⁻²? =
  8. 8.What is the value of 9³? =
  9. 9.What is the value of 10³ × 10⁻³? =
  10. 10.Write (9⁴)² as a single power 9ⁿ. What is n?
  11. 11.What is the value of 2³? =
  12. 12.Write 1.2 × 10⁻⁴ as a decimal. =
  13. 13.Write 4.4 × 10⁻² as a decimal. =
  14. 14.Write 5¹⁵ ÷ 5⁶ as a single power 5ⁿ. What is n?
  15. 15.Write 2¹⁴ ÷ 2⁶ as a single power 2ⁿ. What is n?
  16. 16.Write 7⁹ ÷ 7⁴ as a single power 7ⁿ. What is n?
  17. 17.What is the value of 5⁶ × 5⁻²? =
  18. 18.What is the value of 5²? =
  19. 19.What is the value of 2³ × 2⁻⁴? =
  20. 20.What is the value of 9⁻¹ (as a fraction)? =
  21. 21.What is the value of 2³ × 2⁻⁶? =
  22. 22.8.4 × 10⁷ =
  23. 23.What is the value of 9⁵? =
  24. 24.What is the value of 2² × 2⁻²? =
  25. 25.Write 2.9 × 10⁻² as a decimal. =
  26. 26.Write 4¹⁴ ÷ 4⁸ as a single power 4ⁿ. What is n?
  27. 27.Write 3.6 × 10⁻⁴ as a decimal. =
  28. 28.Write 2⁴ × 2⁸ as a single power 2ⁿ. What is n?
  29. 29.What is the value of 3⁴ × 3⁻²? =
  30. 30.Write 8.4 × 10⁻² as a decimal. =
  31. 31.Write 5² × 5⁷ as a single power 5ⁿ. What is n?
  32. 32.Write 3³ × 3² as a single power 3ⁿ. What is n?
  33. 33.What is the value of 7⁵? =
  34. 34.3.6 × 10⁵ =
  35. 35.Write 4⁸ ÷ 4⁶ as a single power 4ⁿ. What is n?
  36. 36.What is the value of 2⁻⁶ (as a fraction)? =
  37. 37.What is the value of 9⁴? =
  38. 38.Write 4.1 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 7⁻³ (as a fraction)? =
  40. 40.What is the value of 3¹ × 3⁻⁶? =

Answer key

  1. 1
  2. 12
  3. 7/6
  4. 19683
  5. 20
  6. 0.086
  7. 81/25
  8. 729
  9. 1
  10. 8
  11. 8
  12. 0.00012
  13. 0.044
  14. 9
  15. 8
  16. 5
  17. 625
  18. 25
  19. 1/2
  20. 1/9
  21. 1/8
  22. 84000000
  23. 59049
  24. 1
  25. 0.029
  26. 6
  27. 0.00036
  28. 12
  29. 9
  30. 0.084
  31. 9
  32. 5
  33. 16807
  34. 360000
  35. 2
  36. 1/64
  37. 6561
  38. 0.41
  39. 1/343
  40. 1/243

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