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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 228 · 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 2⁵ × 2⁵ as a single power 2ⁿ. What is n?
  2. 2.Write (7⁹)² as a single power 7ⁿ. What is n?
  3. 3.What is the value of 2⁻⁴ (as a fraction)? =
  4. 4.Write 530 in standard form as 5.3 × 10ⁿ. What is n?
  5. 5.What is the value of 5⁴ × 5⁻⁴? =
  6. 6.Write (3²)⁷ as a single power 3ⁿ. What is n?
  7. 7.8.9 × 10⁶ =
  8. 8.What is the value of 7⁴? =
  9. 9.Write (3⁶)⁴ as a single power 3ⁿ. What is n?
  10. 10.What is the value of 8²? =
  11. 11.What is the value of 9⁻³ (as a fraction)? =
  12. 12.Write 2⁵ ÷ 2² as a single power 2ⁿ. What is n?
  13. 13.What is the value of 10² × 10⁻⁵? =
  14. 14.Write 2³ × 2⁹ as a single power 2ⁿ. What is n?
  15. 15.Write 7² × 7² as a single power 7ⁿ. What is n?
  16. 16.What is the value of (5/6)⁻²? =
  17. 17.What is the value of 4²? =
  18. 18.Write 5.8 × 10⁻² as a decimal. =
  19. 19.6 × 10⁵ =
  20. 20.What is the value of 6⁻³ (as a fraction)? =
  21. 21.What is the value of 2⁻⁶ (as a fraction)? =
  22. 22.Write (7⁴)³ as a single power 7ⁿ. What is n?
  23. 23.Write 7⁶ × 7⁶ as a single power 7ⁿ. What is n?
  24. 24.Write 7.4 × 10⁻¹ as a decimal. =
  25. 25.What is the value of 3² × 3⁻¹? =
  26. 26.What is the value of 3⁴ × 3⁻¹? =
  27. 27.What is the value of 8³? =
  28. 28.Write 8¹¹ ÷ 8⁷ as a single power 8ⁿ. What is n?
  29. 29.Write 3⁸ × 3² as a single power 3ⁿ. What is n?
  30. 30.What is the value of 2⁵ × 2⁻⁶? =
  31. 31.What is the value of 2³ × 2⁻²? =
  32. 32.Write (2⁴)² as a single power 2ⁿ. What is n?
  33. 33.Write 3¹⁰ ÷ 3³ as a single power 3ⁿ. What is n?
  34. 34.Write 5² × 5⁹ as a single power 5ⁿ. What is n?
  35. 35.Write 9.5 × 10⁻⁴ as a decimal. =
  36. 36.Write 8¹⁰ ÷ 8⁸ as a single power 8ⁿ. What is n?
  37. 37.What is the value of 9⁴? =
  38. 38.What is the value of 2⁵ × 2⁻⁴? =
  39. 39.What is the value of 10² × 10⁻³? =
  40. 40.What is the value of 4⁷? =

Answer key

  1. 10
  2. 18
  3. 1/16
  4. 2
  5. 1
  6. 14
  7. 8900000
  8. 2401
  9. 24
  10. 64
  11. 1/729
  12. 3
  13. 1/1000
  14. 12
  15. 4
  16. 36/25
  17. 16
  18. 0.058
  19. 600000
  20. 1/216
  21. 1/64
  22. 12
  23. 12
  24. 0.74
  25. 3
  26. 27
  27. 512
  28. 4
  29. 10
  30. 1/2
  31. 2
  32. 8
  33. 7
  34. 11
  35. 0.00095
  36. 2
  37. 6561
  38. 2
  39. 1/10
  40. 16384

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