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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 809 · 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 2² × 2⁻¹? =
  2. 2.Write 73,000 in standard form as 7.3 × 10ⁿ. What is n?
  3. 3.6.3 × 10³ =
  4. 4.What is the value of 2¹¹? =
  5. 5.What is the value of 2⁻⁷ (as a fraction)? =
  6. 6.Write 85,000 in standard form as 8.5 × 10ⁿ. What is n?
  7. 7.1.3 × 10⁵ =
  8. 8.What is the value of 2¹⁴? =
  9. 9.What is the value of 5³? =
  10. 10.What is the value of (1/5)⁻¹? =
  11. 11.Write 4⁸ × 4⁴ as a single power 4ⁿ. What is n?
  12. 12.What is the value of 7⁻³ (as a fraction)? =
  13. 13.What is the value of 3²? =
  14. 14.Write 3⁶ ÷ 3³ as a single power 3ⁿ. What is n?
  15. 15.What is the value of 6⁶? =
  16. 16.Write (4²)⁹ as a single power 4ⁿ. What is n?
  17. 17.Write (8⁷)⁵ as a single power 8ⁿ. What is n?
  18. 18.Write 5⁶ ÷ 5³ as a single power 5ⁿ. What is n?
  19. 19.Write 2.8 × 10⁻³ as a decimal. =
  20. 20.Write 3.9 × 10⁻¹ as a decimal. =
  21. 21.What is the value of 4⁵? =
  22. 22.7.9 × 10² =
  23. 23.Write 3.6 × 10⁻² as a decimal. =
  24. 24.What is the value of 2⁵? =
  25. 25.Write 1.8 × 10⁻² as a decimal. =
  26. 26.Write 30,000 in standard form as 3 × 10ⁿ. What is n?
  27. 27.What is the value of 8⁵? =
  28. 28.What is the value of 3⁵? =
  29. 29.What is the value of 10⁵ × 10⁻³? =
  30. 30.What is the value of 6⁻² (as a fraction)? =
  31. 31.Write 3.2 × 10⁻⁴ as a decimal. =
  32. 32.What is the value of 9³? =
  33. 33.Write 4.2 × 10⁻³ as a decimal. =
  34. 34.What is the value of 6⁻³ (as a fraction)? =
  35. 35.What is the value of 3⁻⁶ (as a fraction)? =
  36. 36.Write 350 in standard form as 3.5 × 10ⁿ. What is n?
  37. 37.What is the value of 10⁴ × 10⁻⁶? =
  38. 38.What is the value of 2⁻⁵ (as a fraction)? =
  39. 39.4.5 × 10⁷ =
  40. 40.Write 3.4 × 10⁻¹ as a decimal. =

Answer key

  1. 2
  2. 4
  3. 6300
  4. 2048
  5. 1/128
  6. 4
  7. 130000
  8. 16384
  9. 125
  10. 5
  11. 12
  12. 1/343
  13. 9
  14. 3
  15. 46656
  16. 18
  17. 35
  18. 3
  19. 0.0028
  20. 0.39
  21. 1024
  22. 790
  23. 0.036
  24. 32
  25. 0.018
  26. 4
  27. 32768
  28. 243
  29. 100
  30. 1/36
  31. 0.00032
  32. 729
  33. 0.0042
  34. 1/216
  35. 1/729
  36. 2
  37. 1/100
  38. 1/32
  39. 45000000
  40. 0.34

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