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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 657 · 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 66,00,000 in standard form as 6.6 × 10ⁿ. What is n?
  2. 2.Write 2.9 × 10⁻³ as a decimal. =
  3. 3.Write 4 × 10⁻⁴ as a decimal. =
  4. 4.Write 2⁵ × 2⁴ as a single power 2ⁿ. What is n?
  5. 5.Write 4¹⁰ ÷ 4² as a single power 4ⁿ. What is n?
  6. 6.What is the value of 2⁴ × 2⁻²? =
  7. 7.Write 24,00,000 in standard form as 2.4 × 10ⁿ. What is n?
  8. 8.What is the value of 5² × 5⁻¹? =
  9. 9.What is the value of 5² × 5⁻²? =
  10. 10.What is the value of 10⁶ × 10⁻³? =
  11. 11.Write 3⁴ × 3⁶ as a single power 3ⁿ. What is n?
  12. 12.What is the value of 3⁴ × 3⁻²? =
  13. 13.What is the value of 3⁻⁵ (as a fraction)? =
  14. 14.What is the value of 7⁴? =
  15. 15.2.5 × 10⁵ =
  16. 16.What is the value of 10³ × 10⁻⁶? =
  17. 17.What is the value of 3⁻³ (as a fraction)? =
  18. 18.Write (4³)⁵ as a single power 4ⁿ. What is n?
  19. 19.Write 7⁷ ÷ 7⁵ as a single power 7ⁿ. What is n?
  20. 20.What is the value of 10² × 10⁻²? =
  21. 21.Write 2⁴ × 2² as a single power 2ⁿ. What is n?
  22. 22.Write 6⁷ × 6⁶ as a single power 6ⁿ. What is n?
  23. 23.Write 9.5 × 10⁻¹ as a decimal. =
  24. 24.Write 2.7 × 10⁻³ as a decimal. =
  25. 25.Write 8.8 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 5⁴ × 5⁻³? =
  27. 27.What is the value of 2¹¹? =
  28. 28.8.6 × 10⁵ =
  29. 29.What is the value of 2⁶ × 2⁻⁶? =
  30. 30.What is the value of 4⁴? =
  31. 31.What is the value of 3⁶? =
  32. 32.What is the value of 5⁵ × 5⁻¹? =
  33. 33.What is the value of 9³? =
  34. 34.Write 5⁶ × 5⁴ as a single power 5ⁿ. What is n?
  35. 35.Write 4⁹ ÷ 4³ as a single power 4ⁿ. What is n?
  36. 36.Write 4.8 × 10⁻² as a decimal. =
  37. 37.Write 5⁵ × 5² as a single power 5ⁿ. What is n?
  38. 38.Write 5.6 × 10⁻³ as a decimal. =
  39. 39.What is the value of 3⁻¹ (as a fraction)? =
  40. 40.What is the value of 6⁵? =

Answer key

  1. 6
  2. 0.0029
  3. 0.0004
  4. 9
  5. 8
  6. 4
  7. 6
  8. 5
  9. 1
  10. 1000
  11. 10
  12. 9
  13. 1/243
  14. 2401
  15. 250000
  16. 1/1000
  17. 1/27
  18. 15
  19. 2
  20. 1
  21. 6
  22. 13
  23. 0.95
  24. 0.0027
  25. 0.88
  26. 5
  27. 2048
  28. 860000
  29. 1
  30. 256
  31. 729
  32. 625
  33. 729
  34. 10
  35. 6
  36. 0.048
  37. 7
  38. 0.0056
  39. 1/3
  40. 7776

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