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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 993 · 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 (5⁴)³ as a single power 5ⁿ. What is n?
  2. 2.What is the value of 4²? =
  3. 3.What is the value of (2/9)⁻¹? =
  4. 4.What is the value of (5/8)⁻²? =
  5. 5.What is the value of 2³? =
  6. 6.What is the value of 2¹³? =
  7. 7.6.7 × 10³ =
  8. 8.What is the value of 7³? =
  9. 9.Write 2⁶ ÷ 2³ as a single power 2ⁿ. What is n?
  10. 10.6.5 × 10⁷ =
  11. 11.What is the value of 2⁶ × 2⁻²? =
  12. 12.What is the value of 2¹ × 2⁻⁶? =
  13. 13.What is the value of 3⁵ × 3⁻³? =
  14. 14.Write 1.7 × 10⁻² as a decimal. =
  15. 15.Write 4 × 10⁻⁴ as a decimal. =
  16. 16.What is the value of (3/4)⁻²? =
  17. 17.What is the value of 2¹ × 2⁻³? =
  18. 18.What is the value of (2/5)⁻²? =
  19. 19.What is the value of 4⁵? =
  20. 20.4.6 × 10² =
  21. 21.What is the value of (4/7)⁻²? =
  22. 22.What is the value of 2⁻² (as a fraction)? =
  23. 23.Write 2⁹ × 2⁴ as a single power 2ⁿ. What is n?
  24. 24.What is the value of 5⁻³ (as a fraction)? =
  25. 25.Write 2.9 × 10⁻³ as a decimal. =
  26. 26.What is the value of (3/7)⁻¹? =
  27. 27.Write 6.8 × 10⁻¹ as a decimal. =
  28. 28.Write 4⁹ × 4⁷ as a single power 4ⁿ. What is n?
  29. 29.What is the value of 8⁴? =
  30. 30.What is the value of 2² × 2⁻²? =
  31. 31.What is the value of 3³? =
  32. 32.What is the value of 3³ × 3⁻³? =
  33. 33.What is the value of 7⁵? =
  34. 34.Write 7.6 × 10⁻⁴ as a decimal. =
  35. 35.Write 9.5 × 10⁻² as a decimal. =
  36. 36.What is the value of 10²? =
  37. 37.Write 4² × 4⁶ as a single power 4ⁿ. What is n?
  38. 38.What is the value of 2¹⁶? =
  39. 39.Write 8⁴ × 8⁵ as a single power 8ⁿ. What is n?
  40. 40.4.3 × 10⁷ =

Answer key

  1. 12
  2. 16
  3. 9/2
  4. 64/25
  5. 8
  6. 8192
  7. 6700
  8. 343
  9. 3
  10. 65000000
  11. 16
  12. 1/32
  13. 9
  14. 0.017
  15. 0.0004
  16. 16/9
  17. 1/4
  18. 25/4
  19. 1024
  20. 460
  21. 49/16
  22. 1/4
  23. 13
  24. 1/125
  25. 0.0029
  26. 7/3
  27. 0.68
  28. 16
  29. 4096
  30. 1
  31. 27
  32. 1
  33. 16807
  34. 0.00076
  35. 0.095
  36. 100
  37. 8
  38. 65536
  39. 9
  40. 43000000

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