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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 743 · 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 3.6 × 10⁻⁴ as a decimal. =
  2. 2.What is the value of 5⁵? =
  3. 3.What is the value of 2⁻⁸ (as a fraction)? =
  4. 4.What is the value of 2⁴ × 2⁻¹? =
  5. 5.What is the value of 2² × 2⁻²? =
  6. 6.Write 7,20,000 in standard form as 7.2 × 10ⁿ. What is n?
  7. 7.2.1 × 10³ =
  8. 8.What is the value of 5⁵ × 5⁻⁶? =
  9. 9.What is the value of 6⁶? =
  10. 10.What is the value of 9³? =
  11. 11.What is the value of 3⁴ × 3⁻⁶? =
  12. 12.Write 1.3 × 10⁻² as a decimal. =
  13. 13.What is the value of 10⁻³ (as a fraction)? =
  14. 14.What is the value of 3⁵ × 3⁻³? =
  15. 15.Write 9¹⁵ ÷ 9⁹ as a single power 9ⁿ. What is n?
  16. 16.Write 2.4 × 10⁻² as a decimal. =
  17. 17.What is the value of 8⁻² (as a fraction)? =
  18. 18.Write 5.5 × 10⁻³ as a decimal. =
  19. 19.What is the value of 2³ × 2⁻¹? =
  20. 20.Write 5⁸ × 5⁴ as a single power 5ⁿ. What is n?
  21. 21.What is the value of 8³? =
  22. 22.Write 9¹⁷ ÷ 9⁹ as a single power 9ⁿ. What is n?
  23. 23.Write 2.6 × 10⁻² as a decimal. =
  24. 24.Write 9¹⁶ ÷ 9⁷ as a single power 9ⁿ. What is n?
  25. 25.Write 2,500 in standard form as 2.5 × 10ⁿ. What is n?
  26. 26.Write 4⁹ ÷ 4⁶ as a single power 4ⁿ. What is n?
  27. 27.What is the value of 4²? =
  28. 28.What is the value of 2⁻¹ (as a fraction)? =
  29. 29.What is the value of 2⁻⁴ (as a fraction)? =
  30. 30.What is the value of 2³ × 2⁻³? =
  31. 31.What is the value of 3¹ × 3⁻⁴? =
  32. 32.Write (7⁶)⁹ as a single power 7ⁿ. What is n?
  33. 33.Write 8.5 × 10⁻¹ as a decimal. =
  34. 34.Write 30,00,000 in standard form as 3 × 10ⁿ. What is n?
  35. 35.What is the value of 2² × 2⁻¹? =
  36. 36.What is the value of 2⁴ × 2⁻⁴? =
  37. 37.Write 5² × 5³ as a single power 5ⁿ. What is n?
  38. 38.Write 6¹⁵ ÷ 6⁶ as a single power 6ⁿ. What is n?
  39. 39.What is the value of 2¹¹? =
  40. 40.6.7 × 10² =

Answer key

  1. 0.00036
  2. 3125
  3. 1/256
  4. 8
  5. 1
  6. 5
  7. 2100
  8. 1/5
  9. 46656
  10. 729
  11. 1/9
  12. 0.013
  13. 1/1000
  14. 9
  15. 6
  16. 0.024
  17. 1/64
  18. 0.0055
  19. 4
  20. 12
  21. 512
  22. 8
  23. 0.026
  24. 9
  25. 3
  26. 3
  27. 16
  28. 1/2
  29. 1/16
  30. 1
  31. 1/27
  32. 54
  33. 0.85
  34. 6
  35. 2
  36. 1
  37. 5
  38. 9
  39. 2048
  40. 670

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