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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 880 · 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 6⁶? =
  2. 2.Write 6⁸ × 6⁹ as a single power 6ⁿ. What is n?
  3. 3.What is the value of 2¹⁰? =
  4. 4.What is the value of 2²? =
  5. 5.What is the value of 3⁴? =
  6. 6.Write 1.8 × 10⁻² as a decimal. =
  7. 7.What is the value of 3⁹? =
  8. 8.What is the value of 6²? =
  9. 9.Write 5⁷ × 5⁷ as a single power 5ⁿ. What is n?
  10. 10.What is the value of 10¹ × 10⁻⁵? =
  11. 11.Write 5⁶ × 5⁸ as a single power 5ⁿ. What is n?
  12. 12.What is the value of 5⁵ × 5⁻¹? =
  13. 13.Write 8.8 × 10⁻³ as a decimal. =
  14. 14.What is the value of 2⁷? =
  15. 15.What is the value of 2¹⁵? =
  16. 16.Write (2³)⁷ as a single power 2ⁿ. What is n?
  17. 17.What is the value of 2¹ × 2⁻¹? =
  18. 18.Write 6.3 × 10⁻¹ as a decimal. =
  19. 19.What is the value of 8⁴? =
  20. 20.Write (3⁹)⁵ as a single power 3ⁿ. What is n?
  21. 21.Write 7.4 × 10⁻² as a decimal. =
  22. 22.What is the value of 2⁵? =
  23. 23.1.8 × 10⁵ =
  24. 24.What is the value of 2¹⁶? =
  25. 25.Write 5⁷ × 5⁵ as a single power 5ⁿ. What is n?
  26. 26.3.3 × 10² =
  27. 27.What is the value of 5¹ × 5⁻¹? =
  28. 28.What is the value of (2/7)⁻¹? =
  29. 29.Write 2¹⁴ ÷ 2⁷ as a single power 2ⁿ. What is n?
  30. 30.What is the value of 2⁻⁵ (as a fraction)? =
  31. 31.What is the value of 2² × 2⁻¹? =
  32. 32.What is the value of (3/7)⁻²? =
  33. 33.What is the value of 2³ × 2⁻²? =
  34. 34.What is the value of 3³? =
  35. 35.Write 9.8 × 10⁻⁴ as a decimal. =
  36. 36.Write 5⁷ ÷ 5⁴ as a single power 5ⁿ. What is n?
  37. 37.What is the value of 2⁴? =
  38. 38.Write 3¹¹ ÷ 3⁵ as a single power 3ⁿ. What is n?
  39. 39.5.8 × 10³ =
  40. 40.What is the value of 10⁵ × 10⁻⁶? =

Answer key

  1. 46656
  2. 17
  3. 1024
  4. 4
  5. 81
  6. 0.018
  7. 19683
  8. 36
  9. 14
  10. 1/10000
  11. 14
  12. 625
  13. 0.0088
  14. 128
  15. 32768
  16. 21
  17. 1
  18. 0.63
  19. 4096
  20. 45
  21. 0.074
  22. 32
  23. 180000
  24. 65536
  25. 12
  26. 330
  27. 1
  28. 7/2
  29. 7
  30. 1/32
  31. 2
  32. 49/9
  33. 2
  34. 27
  35. 0.00098
  36. 3
  37. 16
  38. 6
  39. 5800
  40. 1/10

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