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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 99 · 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 5¹ × 5⁻⁶? =
  2. 2.What is the value of (1/3)⁻²? =
  3. 3.What is the value of 2⁻⁵ (as a fraction)? =
  4. 4.Write 6.7 × 10⁻³ as a decimal. =
  5. 5.Write 9,30,000 in standard form as 9.3 × 10ⁿ. What is n?
  6. 6.What is the value of (5/9)⁻¹? =
  7. 7.Write 9⁸ × 9⁵ as a single power 9ⁿ. What is n?
  8. 8.What is the value of 3³? =
  9. 9.Write 8⁸ × 8⁹ as a single power 8ⁿ. What is n?
  10. 10.Write 1.6 × 10⁻² as a decimal. =
  11. 11.Write 1.2 × 10⁻³ as a decimal. =
  12. 12.What is the value of 2²? =
  13. 13.What is the value of 2² × 2⁻²? =
  14. 14.What is the value of 2¹¹? =
  15. 15.What is the value of 2⁴? =
  16. 16.Write 9.4 × 10⁻² as a decimal. =
  17. 17.Write 8³ × 8⁶ as a single power 8ⁿ. What is n?
  18. 18.2.7 × 10⁴ =
  19. 19.1.9 × 10⁴ =
  20. 20.What is the value of 8⁵? =
  21. 21.Write 9¹⁰ ÷ 9⁴ as a single power 9ⁿ. What is n?
  22. 22.What is the value of 3⁹? =
  23. 23.What is the value of (3/8)⁻¹? =
  24. 24.Write 6.7 × 10⁻² as a decimal. =
  25. 25.What is the value of 9⁻³ (as a fraction)? =
  26. 26.What is the value of 10¹ × 10⁻⁶? =
  27. 27.Write (3⁵)⁶ as a single power 3ⁿ. What is n?
  28. 28.What is the value of 8⁻³ (as a fraction)? =
  29. 29.What is the value of 3²? =
  30. 30.Write (3⁸)⁴ as a single power 3ⁿ. What is n?
  31. 31.What is the value of 5⁵ × 5⁻⁵? =
  32. 32.Write 8.5 × 10⁻¹ as a decimal. =
  33. 33.Write 1.3 × 10⁻³ as a decimal. =
  34. 34.Write 2,800 in standard form as 2.8 × 10ⁿ. What is n?
  35. 35.What is the value of (2/9)⁻¹? =
  36. 36.What is the value of 5⁴? =
  37. 37.What is the value of 10¹ × 10⁻¹? =
  38. 38.What is the value of 8³? =
  39. 39.Write 8.2 × 10⁻¹ as a decimal. =
  40. 40.Write 8¹³ ÷ 8⁶ as a single power 8ⁿ. What is n?

Answer key

  1. 1/3125
  2. 9
  3. 1/32
  4. 0.0067
  5. 5
  6. 9/5
  7. 13
  8. 27
  9. 17
  10. 0.016
  11. 0.0012
  12. 4
  13. 1
  14. 2048
  15. 16
  16. 0.094
  17. 9
  18. 27000
  19. 19000
  20. 32768
  21. 6
  22. 19683
  23. 8/3
  24. 0.067
  25. 1/729
  26. 1/100000
  27. 30
  28. 1/512
  29. 9
  30. 32
  31. 1
  32. 0.85
  33. 0.0013
  34. 3
  35. 9/2
  36. 625
  37. 1
  38. 512
  39. 0.82
  40. 7

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