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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 559 · 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 2³? =
  2. 2.7.5 × 10⁵ =
  3. 3.What is the value of 4⁻³ (as a fraction)? =
  4. 4.Write 3² × 3⁶ as a single power 3ⁿ. What is n?
  5. 5.Write 2.4 × 10⁻⁴ as a decimal. =
  6. 6.6.1 × 10⁶ =
  7. 7.What is the value of 5³ × 5⁻⁶? =
  8. 8.Write 5⁸ ÷ 5³ as a single power 5ⁿ. What is n?
  9. 9.What is the value of 10³? =
  10. 10.Write 5.6 × 10⁻⁴ as a decimal. =
  11. 11.Write 4 × 10⁻³ as a decimal. =
  12. 12.Write 8⁹ × 8³ as a single power 8ⁿ. What is n?
  13. 13.1.7 × 10⁶ =
  14. 14.Write 5⁹ ÷ 5⁶ as a single power 5ⁿ. What is n?
  15. 15.What is the value of 2¹ × 2⁻²? =
  16. 16.Write (9⁹)² as a single power 9ⁿ. What is n?
  17. 17.Write 5² × 5⁶ as a single power 5ⁿ. What is n?
  18. 18.What is the value of 2³ × 2⁻¹? =
  19. 19.Write 6.6 × 10⁻² as a decimal. =
  20. 20.What is the value of 9⁻³ (as a fraction)? =
  21. 21.4.6 × 10⁶ =
  22. 22.What is the value of 6²? =
  23. 23.Write 3⁵ ÷ 3² as a single power 3ⁿ. What is n?
  24. 24.What is the value of 5⁻³ (as a fraction)? =
  25. 25.What is the value of 3⁵? =
  26. 26.Write 9⁵ × 9⁸ as a single power 9ⁿ. What is n?
  27. 27.What is the value of 2⁴ × 2⁻⁶? =
  28. 28.Write 8.4 × 10⁻² as a decimal. =
  29. 29.What is the value of 2¹²? =
  30. 30.What is the value of 10¹ × 10⁻¹? =
  31. 31.Write 2⁴ × 2⁶ as a single power 2ⁿ. What is n?
  32. 32.Write 3.6 × 10⁻² as a decimal. =
  33. 33.Write 3.4 × 10⁻² as a decimal. =
  34. 34.Write 9⁸ × 9⁵ as a single power 9ⁿ. What is n?
  35. 35.What is the value of (6/7)⁻²? =
  36. 36.What is the value of 5³? =
  37. 37.Write 2¹⁴ ÷ 2⁸ as a single power 2ⁿ. What is n?
  38. 38.What is the value of 6⁻² (as a fraction)? =
  39. 39.What is the value of 6⁵? =
  40. 40.What is the value of 5³ × 5⁻³? =

Answer key

  1. 8
  2. 750000
  3. 1/64
  4. 8
  5. 0.00024
  6. 6100000
  7. 1/125
  8. 5
  9. 1000
  10. 0.00056
  11. 0.004
  12. 12
  13. 1700000
  14. 3
  15. 1/2
  16. 18
  17. 8
  18. 4
  19. 0.066
  20. 1/729
  21. 4600000
  22. 36
  23. 3
  24. 1/125
  25. 243
  26. 13
  27. 1/4
  28. 0.084
  29. 4096
  30. 1
  31. 10
  32. 0.036
  33. 0.034
  34. 13
  35. 49/36
  36. 125
  37. 6
  38. 1/36
  39. 7776
  40. 1

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