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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 805 · 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 (3/5)⁻¹? =
  2. 2.What is the value of (2/5)⁻²? =
  3. 3.Write 7.4 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of 10³ × 10⁻⁴? =
  5. 5.Write 8.1 × 10⁻¹ as a decimal. =
  6. 6.Write 9,900 in standard form as 9.9 × 10ⁿ. What is n?
  7. 7.What is the value of 6³? =
  8. 8.What is the value of 3⁴? =
  9. 9.Write 7.2 × 10⁻⁴ as a decimal. =
  10. 10.What is the value of 5¹ × 5⁻¹? =
  11. 11.Write 2.5 × 10⁻² as a decimal. =
  12. 12.Write 3,700 in standard form as 3.7 × 10ⁿ. What is n?
  13. 13.What is the value of 4⁻¹ (as a fraction)? =
  14. 14.Write (6⁶)² as a single power 6ⁿ. What is n?
  15. 15.6.3 × 10³ =
  16. 16.What is the value of (1/5)⁻¹? =
  17. 17.Write (8⁶)⁹ as a single power 8ⁿ. What is n?
  18. 18.Write 6.6 × 10⁻⁴ as a decimal. =
  19. 19.What is the value of (5/9)⁻²? =
  20. 20.Write 7¹⁵ ÷ 7⁶ as a single power 7ⁿ. What is n?
  21. 21.What is the value of 5⁴? =
  22. 22.Write 3⁴ × 3⁸ as a single power 3ⁿ. What is n?
  23. 23.What is the value of 3⁵ × 3⁻¹? =
  24. 24.Write 7⁸ ÷ 7³ as a single power 7ⁿ. What is n?
  25. 25.Write 2.5 × 10⁻³ as a decimal. =
  26. 26.1.8 × 10² =
  27. 27.What is the value of 6⁴? =
  28. 28.What is the value of 3⁴ × 3⁻⁴? =
  29. 29.Write 64,000 in standard form as 6.4 × 10ⁿ. What is n?
  30. 30.What is the value of 3³ × 3⁻³? =
  31. 31.Write 3⁵ × 3² as a single power 3ⁿ. What is n?
  32. 32.Write 8⁸ ÷ 8⁴ as a single power 8ⁿ. What is n?
  33. 33.Write 3² × 3⁶ as a single power 3ⁿ. What is n?
  34. 34.Write 2⁷ ÷ 2³ as a single power 2ⁿ. What is n?
  35. 35.What is the value of 3⁶ × 3⁻²? =
  36. 36.What is the value of (4/5)⁻²? =
  37. 37.What is the value of 5¹ × 5⁻⁵? =
  38. 38.Write 2.1 × 10⁻⁴ as a decimal. =
  39. 39.What is the value of (6/7)⁻¹? =
  40. 40.Write 2 × 10⁻³ as a decimal. =

Answer key

  1. 5/3
  2. 25/4
  3. 0.00074
  4. 1/10
  5. 0.81
  6. 3
  7. 216
  8. 81
  9. 0.00072
  10. 1
  11. 0.025
  12. 3
  13. 1/4
  14. 12
  15. 6300
  16. 5
  17. 54
  18. 0.00066
  19. 81/25
  20. 9
  21. 625
  22. 12
  23. 81
  24. 5
  25. 0.0025
  26. 180
  27. 1296
  28. 1
  29. 4
  30. 1
  31. 7
  32. 4
  33. 8
  34. 4
  35. 81
  36. 25/16
  37. 1/625
  38. 0.00021
  39. 7/6
  40. 0.002

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