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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 571 · 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 3.6 × 10⁻² as a decimal. =
  2. 2.What is the value of 10⁵ × 10⁻²? =
  3. 3.2.6 × 10² =
  4. 4.Write 3⁷ × 3³ as a single power 3ⁿ. What is n?
  5. 5.What is the value of (5/8)⁻²? =
  6. 6.Write 2¹⁰ ÷ 2⁸ as a single power 2ⁿ. What is n?
  7. 7.What is the value of (2/5)⁻²? =
  8. 8.Write 7.3 × 10⁻² as a decimal. =
  9. 9.What is the value of 3³? =
  10. 10.What is the value of 2¹²? =
  11. 11.Write 9.7 × 10⁻² as a decimal. =
  12. 12.What is the value of 3⁵? =
  13. 13.What is the value of 5³ × 5⁻⁶? =
  14. 14.7.1 × 10⁷ =
  15. 15.Write 3.7 × 10⁻² as a decimal. =
  16. 16.Write 8³ × 8⁹ as a single power 8ⁿ. What is n?
  17. 17.What is the value of 10³? =
  18. 18.Write 6¹⁰ ÷ 6⁷ as a single power 6ⁿ. What is n?
  19. 19.What is the value of 10² × 10⁻⁶? =
  20. 20.What is the value of (2/7)⁻¹? =
  21. 21.Write 2.1 × 10⁻² as a decimal. =
  22. 22.Write 5.1 × 10⁻¹ as a decimal. =
  23. 23.Write 1.9 × 10⁻³ as a decimal. =
  24. 24.What is the value of 10⁴ × 10⁻³? =
  25. 25.What is the value of 2¹³? =
  26. 26.Write 6⁹ ÷ 6⁵ as a single power 6ⁿ. What is n?
  27. 27.What is the value of 2¹ × 2⁻¹? =
  28. 28.Write 2⁶ × 2⁸ as a single power 2ⁿ. What is n?
  29. 29.What is the value of 2¹⁰? =
  30. 30.What is the value of 9⁵? =
  31. 31.Write (4³)⁹ as a single power 4ⁿ. What is n?
  32. 32.Write 8⁵ × 8⁹ as a single power 8ⁿ. What is n?
  33. 33.What is the value of 3⁶? =
  34. 34.What is the value of 7³? =
  35. 35.Write 8¹¹ ÷ 8⁹ as a single power 8ⁿ. What is n?
  36. 36.2.2 × 10⁴ =
  37. 37.What is the value of 5⁴? =
  38. 38.Write 6 × 10⁻² as a decimal. =
  39. 39.Write 6.1 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of 4⁸? =

Answer key

  1. 0.036
  2. 1000
  3. 260
  4. 10
  5. 64/25
  6. 2
  7. 25/4
  8. 0.073
  9. 27
  10. 4096
  11. 0.097
  12. 243
  13. 1/125
  14. 71000000
  15. 0.037
  16. 12
  17. 1000
  18. 3
  19. 1/10000
  20. 7/2
  21. 0.021
  22. 0.51
  23. 0.0019
  24. 10
  25. 8192
  26. 4
  27. 1
  28. 14
  29. 1024
  30. 59049
  31. 27
  32. 14
  33. 729
  34. 343
  35. 2
  36. 22000
  37. 625
  38. 0.06
  39. 0.00061
  40. 65536

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