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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 352 · 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 5¹ × 5⁻¹? =
  2. 2.Write 4¹⁵ ÷ 4⁶ as a single power 4ⁿ. What is n?
  3. 3.Write 83,000 in standard form as 8.3 × 10ⁿ. What is n?
  4. 4.What is the value of 7⁵? =
  5. 5.What is the value of 10⁵? =
  6. 6.Write (3²)³ as a single power 3ⁿ. What is n?
  7. 7.What is the value of 7⁻² (as a fraction)? =
  8. 8.Write 25,00,000 in standard form as 2.5 × 10ⁿ. What is n?
  9. 9.8.5 × 10³ =
  10. 10.What is the value of 4²? =
  11. 11.7.7 × 10⁵ =
  12. 12.Write (5⁸)⁵ as a single power 5ⁿ. What is n?
  13. 13.What is the value of 5¹ × 5⁻⁴? =
  14. 14.Write 3.4 × 10⁻³ as a decimal. =
  15. 15.What is the value of 2⁻⁸ (as a fraction)? =
  16. 16.Write 7⁶ × 7⁹ as a single power 7ⁿ. What is n?
  17. 17.What is the value of 3¹ × 3⁻⁶? =
  18. 18.What is the value of 5²? =
  19. 19.Write 9,800 in standard form as 9.8 × 10ⁿ. What is n?
  20. 20.What is the value of 3³ × 3⁻²? =
  21. 21.What is the value of 5³ × 5⁻¹? =
  22. 22.Write 6² × 6² as a single power 6ⁿ. What is n?
  23. 23.What is the value of 2¹⁰? =
  24. 24.Write 3.9 × 10⁻¹ as a decimal. =
  25. 25.What is the value of 5³? =
  26. 26.What is the value of 2¹³? =
  27. 27.What is the value of 2¹¹? =
  28. 28.Write 3⁹ ÷ 3⁵ as a single power 3ⁿ. What is n?
  29. 29.Write 3.8 × 10⁻² as a decimal. =
  30. 30.Write 390 in standard form as 3.9 × 10ⁿ. What is n?
  31. 31.Write 3.5 × 10⁻² as a decimal. =
  32. 32.What is the value of 5¹ × 5⁻³? =
  33. 33.What is the value of 2² × 2⁻¹? =
  34. 34.Write 3⁸ ÷ 3² as a single power 3ⁿ. What is n?
  35. 35.Write 3.4 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of 10²? =
  37. 37.2.5 × 10⁴ =
  38. 38.What is the value of (5/8)⁻¹? =
  39. 39.What is the value of 3¹⁰? =
  40. 40.What is the value of 3⁻¹ (as a fraction)? =

Answer key

  1. 1
  2. 9
  3. 4
  4. 16807
  5. 100000
  6. 6
  7. 1/49
  8. 6
  9. 8500
  10. 16
  11. 770000
  12. 40
  13. 1/125
  14. 0.0034
  15. 1/256
  16. 15
  17. 1/243
  18. 25
  19. 3
  20. 3
  21. 25
  22. 4
  23. 1024
  24. 0.39
  25. 125
  26. 8192
  27. 2048
  28. 4
  29. 0.038
  30. 2
  31. 0.035
  32. 1/25
  33. 2
  34. 6
  35. 0.00034
  36. 100
  37. 25000
  38. 8/5
  39. 59049
  40. 1/3

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