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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 17 · 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 10² × 10⁻⁵? =
  2. 2.What is the value of 2⁵ × 2⁻²? =
  3. 3.What is the value of 2¹²? =
  4. 4.Write 3⁶ × 3⁷ as a single power 3ⁿ. What is n?
  5. 5.What is the value of 10² × 10⁻⁴? =
  6. 6.What is the value of (1/7)⁻²? =
  7. 7.Write 2⁴ × 2⁴ as a single power 2ⁿ. What is n?
  8. 8.Write (4⁴)⁶ as a single power 4ⁿ. What is n?
  9. 9.Write 33,000 in standard form as 3.3 × 10ⁿ. What is n?
  10. 10.What is the value of 5² × 5⁻²? =
  11. 11.What is the value of 2¹⁴? =
  12. 12.What is the value of 10¹ × 10⁻⁴? =
  13. 13.What is the value of 6⁵? =
  14. 14.What is the value of 3¹ × 3⁻²? =
  15. 15.What is the value of 10⁵ × 10⁻¹? =
  16. 16.What is the value of 3⁹? =
  17. 17.What is the value of 2¹ × 2⁻²? =
  18. 18.What is the value of 2⁴? =
  19. 19.What is the value of 3⁻¹ (as a fraction)? =
  20. 20.What is the value of (4/5)⁻²? =
  21. 21.Write 5.9 × 10⁻² as a decimal. =
  22. 22.What is the value of 4⁻⁴ (as a fraction)? =
  23. 23.Write (5⁸)⁶ as a single power 5ⁿ. What is n?
  24. 24.What is the value of 10⁴ × 10⁻⁵? =
  25. 25.Write 7¹¹ ÷ 7⁸ as a single power 7ⁿ. What is n?
  26. 26.What is the value of 2³ × 2⁻³? =
  27. 27.What is the value of 5⁴? =
  28. 28.What is the value of 2¹¹? =
  29. 29.What is the value of 6⁻¹ (as a fraction)? =
  30. 30.What is the value of 2¹ × 2⁻¹? =
  31. 31.What is the value of 2⁻⁶ (as a fraction)? =
  32. 32.Write 4.5 × 10⁻² as a decimal. =
  33. 33.What is the value of 2⁻⁷ (as a fraction)? =
  34. 34.Write 8⁸ × 8⁴ as a single power 8ⁿ. What is n?
  35. 35.What is the value of 6⁻² (as a fraction)? =
  36. 36.What is the value of 2⁶ × 2⁻¹? =
  37. 37.What is the value of 5⁻¹ (as a fraction)? =
  38. 38.What is the value of 8⁴? =
  39. 39.What is the value of 3⁻² (as a fraction)? =
  40. 40.What is the value of (1/5)⁻¹? =

Answer key

  1. 1/1000
  2. 8
  3. 4096
  4. 13
  5. 1/100
  6. 49
  7. 8
  8. 24
  9. 4
  10. 1
  11. 16384
  12. 1/1000
  13. 7776
  14. 1/3
  15. 10000
  16. 19683
  17. 1/2
  18. 16
  19. 1/3
  20. 25/16
  21. 0.059
  22. 1/256
  23. 48
  24. 1/10
  25. 3
  26. 1
  27. 625
  28. 2048
  29. 1/6
  30. 1
  31. 1/64
  32. 0.045
  33. 1/128
  34. 12
  35. 1/36
  36. 32
  37. 1/5
  38. 4096
  39. 1/9
  40. 5

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