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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 949 · 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 (3/8)⁻¹? =
  2. 2.Write 2⁵ ÷ 2³ as a single power 2ⁿ. What is n?
  3. 3.What is the value of (5/8)⁻²? =
  4. 4.Write 4¹⁰ ÷ 4² as a single power 4ⁿ. What is n?
  5. 5.Write 2.1 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 5¹ × 5⁻⁶? =
  7. 7.What is the value of 3² × 3⁻⁶? =
  8. 8.What is the value of 3⁹? =
  9. 9.Write 7.1 × 10⁻² as a decimal. =
  10. 10.Write 6,40,000 in standard form as 6.4 × 10ⁿ. What is n?
  11. 11.What is the value of 2⁵ × 2⁻⁵? =
  12. 12.Write 2.5 × 10⁻⁴ as a decimal. =
  13. 13.What is the value of 3⁻³ (as a fraction)? =
  14. 14.What is the value of 2⁻³ (as a fraction)? =
  15. 15.What is the value of 3⁵? =
  16. 16.Write 2,40,00,000 in standard form as 2.4 × 10ⁿ. What is n?
  17. 17.What is the value of 2² × 2⁻²? =
  18. 18.Write 9.6 × 10⁻⁴ as a decimal. =
  19. 19.Write 7.8 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 2¹⁴? =
  21. 21.What is the value of 10⁵ × 10⁻²? =
  22. 22.What is the value of 2¹¹? =
  23. 23.What is the value of 7⁻² (as a fraction)? =
  24. 24.4.2 × 10² =
  25. 25.What is the value of 3⁶ × 3⁻¹? =
  26. 26.What is the value of 9²? =
  27. 27.Write 3⁴ × 3⁴ as a single power 3ⁿ. What is n?
  28. 28.4.8 × 10⁶ =
  29. 29.What is the value of 7⁴? =
  30. 30.Write 2⁵ × 2⁴ as a single power 2ⁿ. What is n?
  31. 31.What is the value of (3/5)⁻²? =
  32. 32.What is the value of 10³ × 10⁻³? =
  33. 33.What is the value of (5/9)⁻¹? =
  34. 34.Write 9,00,00,000 in standard form as 9 × 10ⁿ. What is n?
  35. 35.What is the value of 2² × 2⁻³? =
  36. 36.What is the value of 2¹ × 2⁻²? =
  37. 37.Write 3⁶ ÷ 3³ as a single power 3ⁿ. What is n?
  38. 38.Write 5⁵ × 5⁷ as a single power 5ⁿ. What is n?
  39. 39.What is the value of 10⁴ × 10⁻¹? =
  40. 40.What is the value of 5⁶? =

Answer key

  1. 8/3
  2. 2
  3. 64/25
  4. 8
  5. 0.21
  6. 1/3125
  7. 1/81
  8. 19683
  9. 0.071
  10. 5
  11. 1
  12. 0.00025
  13. 1/27
  14. 1/8
  15. 243
  16. 7
  17. 1
  18. 0.00096
  19. 0.78
  20. 16384
  21. 1000
  22. 2048
  23. 1/49
  24. 420
  25. 243
  26. 81
  27. 8
  28. 4800000
  29. 2401
  30. 9
  31. 25/9
  32. 1
  33. 9/5
  34. 7
  35. 1/2
  36. 1/2
  37. 3
  38. 12
  39. 1000
  40. 15625

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