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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 468 · 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. 1.3.1 × 10⁵ =
  2. 2.Write 9.1 × 10⁻¹ as a decimal. =
  3. 3.Write 7⁸ × 7² as a single power 7ⁿ. What is n?
  4. 4.What is the value of 2⁶? =
  5. 5.Write 7⁵ × 7⁹ as a single power 7ⁿ. What is n?
  6. 6.What is the value of 7⁴? =
  7. 7.What is the value of 10⁻³ (as a fraction)? =
  8. 8.Write 7.8 × 10⁻³ as a decimal. =
  9. 9.What is the value of 3⁶ × 3⁻²? =
  10. 10.6.6 × 10⁴ =
  11. 11.What is the value of 6³? =
  12. 12.What is the value of 4⁸? =
  13. 13.What is the value of (3/8)⁻²? =
  14. 14.What is the value of 3⁻² (as a fraction)? =
  15. 15.What is the value of 5¹ × 5⁻⁵? =
  16. 16.Write 3.6 × 10⁻³ as a decimal. =
  17. 17.What is the value of 2¹ × 2⁻³? =
  18. 18.Write 9 × 10⁻⁴ as a decimal. =
  19. 19.5.4 × 10⁷ =
  20. 20.What is the value of 2¹¹? =
  21. 21.What is the value of 10⁵? =
  22. 22.What is the value of 5⁵ × 5⁻¹? =
  23. 23.Write 3.3 × 10⁻⁴ as a decimal. =
  24. 24.7.2 × 10⁷ =
  25. 25.Write 1.7 × 10⁻² as a decimal. =
  26. 26.What is the value of (7/8)⁻²? =
  27. 27.What is the value of 2⁻² (as a fraction)? =
  28. 28.What is the value of 3¹⁰? =
  29. 29.Write 5.4 × 10⁻⁴ as a decimal. =
  30. 30.What is the value of 3⁵ × 3⁻¹? =
  31. 31.What is the value of 2⁻⁷ (as a fraction)? =
  32. 32.Write 5¹⁰ ÷ 5⁵ as a single power 5ⁿ. What is n?
  33. 33.What is the value of 5⁻¹ (as a fraction)? =
  34. 34.Write 5³ × 5⁶ as a single power 5ⁿ. What is n?
  35. 35.Write (8²)³ as a single power 8ⁿ. What is n?
  36. 36.What is the value of 2⁵ × 2⁻⁶? =
  37. 37.What is the value of 2¹ × 2⁻⁶? =
  38. 38.Write 1.8 × 10⁻⁴ as a decimal. =
  39. 39.What is the value of 2⁸? =
  40. 40.What is the value of 5⁵? =

Answer key

  1. 310000
  2. 0.91
  3. 10
  4. 64
  5. 14
  6. 2401
  7. 1/1000
  8. 0.0078
  9. 81
  10. 66000
  11. 216
  12. 65536
  13. 64/9
  14. 1/9
  15. 1/625
  16. 0.0036
  17. 1/4
  18. 0.0009
  19. 54000000
  20. 2048
  21. 100000
  22. 625
  23. 0.00033
  24. 72000000
  25. 0.017
  26. 64/49
  27. 1/4
  28. 59049
  29. 0.00054
  30. 81
  31. 1/128
  32. 5
  33. 1/5
  34. 9
  35. 6
  36. 1/2
  37. 1/32
  38. 0.00018
  39. 256
  40. 3125

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