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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 234 · 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 3²? =
  2. 2.Write (6⁵)⁴ as a single power 6ⁿ. What is n?
  3. 3.Write 2⁷ × 2⁶ as a single power 2ⁿ. What is n?
  4. 4.Write (6²)⁵ as a single power 6ⁿ. What is n?
  5. 5.Write 3⁷ ÷ 3⁴ as a single power 3ⁿ. What is n?
  6. 6.What is the value of 2¹⁶? =
  7. 7.What is the value of 2¹⁵? =
  8. 8.Write 2,30,000 in standard form as 2.3 × 10ⁿ. What is n?
  9. 9.Write 860 in standard form as 8.6 × 10ⁿ. What is n?
  10. 10.Write 8.4 × 10⁻⁴ as a decimal. =
  11. 11.What is the value of 5² × 5⁻⁶? =
  12. 12.Write 4⁷ × 4⁶ as a single power 4ⁿ. What is n?
  13. 13.What is the value of 2⁻⁶ (as a fraction)? =
  14. 14.Write 4.2 × 10⁻³ as a decimal. =
  15. 15.Write 7⁹ ÷ 7³ as a single power 7ⁿ. What is n?
  16. 16.What is the value of 3⁷? =
  17. 17.What is the value of 5⁴? =
  18. 18.What is the value of 5⁵ × 5⁻³? =
  19. 19.What is the value of 4⁻² (as a fraction)? =
  20. 20.What is the value of 6⁻¹ (as a fraction)? =
  21. 21.Write 6.1 × 10⁻² as a decimal. =
  22. 22.What is the value of 3⁵? =
  23. 23.Write 3,000 in standard form as 3 × 10ⁿ. What is n?
  24. 24.Write (3⁷)³ as a single power 3ⁿ. What is n?
  25. 25.What is the value of 5⁶? =
  26. 26.What is the value of 3⁶ × 3⁻²? =
  27. 27.Write 5 × 10⁻² as a decimal. =
  28. 28.What is the value of 3⁶? =
  29. 29.What is the value of (1/3)⁻¹? =
  30. 30.Write (6²)⁴ as a single power 6ⁿ. What is n?
  31. 31.What is the value of 2⁻⁴ (as a fraction)? =
  32. 32.What is the value of 3³? =
  33. 33.What is the value of 3⁻¹ (as a fraction)? =
  34. 34.Write 8⁵ × 8⁹ as a single power 8ⁿ. What is n?
  35. 35.What is the value of 2²? =
  36. 36.What is the value of (4/7)⁻²? =
  37. 37.What is the value of 8⁴? =
  38. 38.Write 4⁹ × 4² as a single power 4ⁿ. What is n?
  39. 39.What is the value of 10⁻³ (as a fraction)? =
  40. 40.9.6 × 10⁶ =

Answer key

  1. 9
  2. 20
  3. 13
  4. 10
  5. 3
  6. 65536
  7. 32768
  8. 5
  9. 2
  10. 0.00084
  11. 1/625
  12. 13
  13. 1/64
  14. 0.0042
  15. 6
  16. 2187
  17. 625
  18. 25
  19. 1/16
  20. 1/6
  21. 0.061
  22. 243
  23. 3
  24. 21
  25. 15625
  26. 81
  27. 0.05
  28. 729
  29. 3
  30. 8
  31. 1/16
  32. 27
  33. 1/3
  34. 14
  35. 4
  36. 49/16
  37. 4096
  38. 11
  39. 1/1000
  40. 9600000

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