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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 108 · 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. 1.3.6 × 10⁴ =
  2. 2.What is the value of (1/5)⁻²? =
  3. 3.What is the value of 4⁻⁴ (as a fraction)? =
  4. 4.Write 8⁹ × 8⁹ as a single power 8ⁿ. What is n?
  5. 5.What is the value of 2⁵ × 2⁻⁵? =
  6. 6.Write 7,800 in standard form as 7.8 × 10ⁿ. What is n?
  7. 7.Write 4.5 × 10⁻³ as a decimal. =
  8. 8.Write 4.1 × 10⁻³ as a decimal. =
  9. 9.9.2 × 10³ =
  10. 10.What is the value of 3⁶ × 3⁻⁵? =
  11. 11.Write 9³ × 9² as a single power 9ⁿ. What is n?
  12. 12.What is the value of 5⁵? =
  13. 13.What is the value of 5⁴ × 5⁻⁴? =
  14. 14.What is the value of 5¹ × 5⁻⁵? =
  15. 15.What is the value of 9⁵? =
  16. 16.What is the value of 10³? =
  17. 17.What is the value of 5⁵ × 5⁻⁵? =
  18. 18.What is the value of 10² × 10⁻⁴? =
  19. 19.What is the value of 5³ × 5⁻⁶? =
  20. 20.Write 9⁷ × 9⁴ as a single power 9ⁿ. What is n?
  21. 21.What is the value of (5/8)⁻²? =
  22. 22.What is the value of (1/2)⁻²? =
  23. 23.What is the value of 4⁷? =
  24. 24.Write 7.1 × 10⁻² as a decimal. =
  25. 25.What is the value of 2⁻⁴ (as a fraction)? =
  26. 26.Write 2.1 × 10⁻¹ as a decimal. =
  27. 27.Write 6¹² ÷ 6⁷ as a single power 6ⁿ. What is n?
  28. 28.What is the value of 3³? =
  29. 29.Write 8.3 × 10⁻² as a decimal. =
  30. 30.What is the value of 5⁶ × 5⁻⁵? =
  31. 31.Write 4,00,000 in standard form as 4 × 10ⁿ. What is n?
  32. 32.Write 9,00,000 in standard form as 9 × 10ⁿ. What is n?
  33. 33.What is the value of 3⁴? =
  34. 34.Write 5.2 × 10⁻³ as a decimal. =
  35. 35.5.6 × 10⁷ =
  36. 36.What is the value of 10⁶ × 10⁻⁶? =
  37. 37.What is the value of 9⁻¹ (as a fraction)? =
  38. 38.What is the value of 8⁻² (as a fraction)? =
  39. 39.What is the value of (1/6)⁻¹? =
  40. 40.What is the value of 10⁵ × 10⁻¹? =

Answer key

  1. 36000
  2. 25
  3. 1/256
  4. 18
  5. 1
  6. 3
  7. 0.0045
  8. 0.0041
  9. 9200
  10. 3
  11. 5
  12. 3125
  13. 1
  14. 1/625
  15. 59049
  16. 1000
  17. 1
  18. 1/100
  19. 1/125
  20. 11
  21. 64/25
  22. 4
  23. 16384
  24. 0.071
  25. 1/16
  26. 0.21
  27. 5
  28. 27
  29. 0.083
  30. 5
  31. 5
  32. 5
  33. 81
  34. 0.0052
  35. 56000000
  36. 1
  37. 1/9
  38. 1/64
  39. 6
  40. 10000

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