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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 405 · 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 6.1 × 10⁻² as a decimal. =
  2. 2.What is the value of 5⁵ × 5⁻⁵? =
  3. 3.9.9 × 10⁷ =
  4. 4.Write 6¹⁵ ÷ 6⁷ as a single power 6ⁿ. What is n?
  5. 5.What is the value of 2⁻⁶ (as a fraction)? =
  6. 6.Write 2 × 10⁻² as a decimal. =
  7. 7.What is the value of 2² × 2⁻¹? =
  8. 8.Write 2,200 in standard form as 2.2 × 10ⁿ. What is n?
  9. 9.What is the value of 3⁷? =
  10. 10.What is the value of 10³ × 10⁻⁴? =
  11. 11.2.1 × 10³ =
  12. 12.What is the value of 3²? =
  13. 13.What is the value of 2²? =
  14. 14.Write 2¹¹ ÷ 2⁹ as a single power 2ⁿ. What is n?
  15. 15.Write 5.9 × 10⁻⁴ as a decimal. =
  16. 16.What is the value of 9³? =
  17. 17.What is the value of 3⁵ × 3⁻⁶? =
  18. 18.What is the value of 4⁵? =
  19. 19.Write 4.9 × 10⁻⁴ as a decimal. =
  20. 20.What is the value of 10⁴ × 10⁻¹? =
  21. 21.What is the value of 3⁶? =
  22. 22.What is the value of 10⁵ × 10⁻³? =
  23. 23.Write 9¹² ÷ 9⁵ as a single power 9ⁿ. What is n?
  24. 24.Write (8⁴)⁷ as a single power 8ⁿ. What is n?
  25. 25.Write 3.6 × 10⁻³ as a decimal. =
  26. 26.Write (5²)⁴ as a single power 5ⁿ. What is n?
  27. 27.What is the value of 5⁴ × 5⁻³? =
  28. 28.Write 2.4 × 10⁻³ as a decimal. =
  29. 29.What is the value of 2⁹? =
  30. 30.Write 8.7 × 10⁻² as a decimal. =
  31. 31.What is the value of 10⁴ × 10⁻⁵? =
  32. 32.What is the value of (6/7)⁻²? =
  33. 33.What is the value of 5² × 5⁻⁵? =
  34. 34.1.7 × 10⁶ =
  35. 35.What is the value of 7⁻¹ (as a fraction)? =
  36. 36.What is the value of 2⁻¹ (as a fraction)? =
  37. 37.What is the value of 9⁵? =
  38. 38.Write 5³ × 5⁹ as a single power 5ⁿ. What is n?
  39. 39.What is the value of 2⁴? =
  40. 40.Write 7.9 × 10⁻³ as a decimal. =

Answer key

  1. 0.061
  2. 1
  3. 99000000
  4. 8
  5. 1/64
  6. 0.02
  7. 2
  8. 3
  9. 2187
  10. 1/10
  11. 2100
  12. 9
  13. 4
  14. 2
  15. 0.00059
  16. 729
  17. 1/3
  18. 1024
  19. 0.00049
  20. 1000
  21. 729
  22. 100
  23. 7
  24. 28
  25. 0.0036
  26. 8
  27. 5
  28. 0.0024
  29. 512
  30. 0.087
  31. 1/10
  32. 49/36
  33. 1/125
  34. 1700000
  35. 1/7
  36. 1/2
  37. 59049
  38. 12
  39. 16
  40. 0.0079

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