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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 56 · 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 5⁷ × 5⁹ as a single power 5ⁿ. What is n?
  2. 2.What is the value of 7⁵? =
  3. 3.Write 7¹¹ ÷ 7⁹ as a single power 7ⁿ. What is n?
  4. 4.Write 6.1 × 10⁻² as a decimal. =
  5. 5.What is the value of (1/4)⁻¹? =
  6. 6.What is the value of 9²? =
  7. 7.What is the value of 10² × 10⁻³? =
  8. 8.What is the value of 10⁴? =
  9. 9.What is the value of 6⁻³ (as a fraction)? =
  10. 10.3 × 10⁷ =
  11. 11.What is the value of 4⁶? =
  12. 12.Write 1.3 × 10⁻² as a decimal. =
  13. 13.What is the value of 8⁻³ (as a fraction)? =
  14. 14.What is the value of 3⁻² (as a fraction)? =
  15. 15.What is the value of 3³ × 3⁻¹? =
  16. 16.4.6 × 10⁴ =
  17. 17.Write (5²)⁷ as a single power 5ⁿ. What is n?
  18. 18.2 × 10⁵ =
  19. 19.6.2 × 10⁷ =
  20. 20.Write 3.5 × 10⁻² as a decimal. =
  21. 21.What is the value of 9⁻³ (as a fraction)? =
  22. 22.What is the value of 6⁻¹ (as a fraction)? =
  23. 23.What is the value of 3⁶? =
  24. 24.Write 2¹¹ ÷ 2⁵ as a single power 2ⁿ. What is n?
  25. 25.Write (6⁶)² as a single power 6ⁿ. What is n?
  26. 26.Write 1.5 × 10⁻² as a decimal. =
  27. 27.What is the value of 5⁶? =
  28. 28.What is the value of 5⁵? =
  29. 29.What is the value of 3⁵ × 3⁻⁶? =
  30. 30.Write 6⁷ × 6⁴ as a single power 6ⁿ. What is n?
  31. 31.What is the value of 2¹³? =
  32. 32.What is the value of 5⁶ × 5⁻⁴? =
  33. 33.Write 5.9 × 10⁻¹ as a decimal. =
  34. 34.Write 4³ × 4⁹ as a single power 4ⁿ. What is n?
  35. 35.Write 4.7 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of 7³? =
  37. 37.What is the value of 3¹⁰? =
  38. 38.What is the value of 5⁴ × 5⁻²? =
  39. 39.What is the value of (5/6)⁻²? =
  40. 40.Write 2.8 × 10⁻² as a decimal. =

Answer key

  1. 16
  2. 16807
  3. 2
  4. 0.061
  5. 4
  6. 81
  7. 1/10
  8. 10000
  9. 1/216
  10. 30000000
  11. 4096
  12. 0.013
  13. 1/512
  14. 1/9
  15. 9
  16. 46000
  17. 14
  18. 200000
  19. 62000000
  20. 0.035
  21. 1/729
  22. 1/6
  23. 729
  24. 6
  25. 12
  26. 0.015
  27. 15625
  28. 3125
  29. 1/3
  30. 11
  31. 8192
  32. 25
  33. 0.59
  34. 12
  35. 0.00047
  36. 343
  37. 59049
  38. 25
  39. 36/25
  40. 0.028

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