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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 912 · 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 6¹⁰ ÷ 6⁵ as a single power 6ⁿ. What is n?
  2. 2.What is the value of 3² × 3⁻⁴? =
  3. 3.Write 3¹⁰ ÷ 3² as a single power 3ⁿ. What is n?
  4. 4.What is the value of 9³? =
  5. 5.What is the value of (5/6)⁻²? =
  6. 6.What is the value of 3⁶ × 3⁻⁴? =
  7. 7.What is the value of 3³? =
  8. 8.Write 1.6 × 10⁻² as a decimal. =
  9. 9.What is the value of 4⁸? =
  10. 10.What is the value of 3³ × 3⁻⁴? =
  11. 11.Write 7.5 × 10⁻⁴ as a decimal. =
  12. 12.4.6 × 10⁴ =
  13. 13.Write 35,00,000 in standard form as 3.5 × 10ⁿ. What is n?
  14. 14.Write 2.4 × 10⁻³ as a decimal. =
  15. 15.What is the value of 3⁸? =
  16. 16.Write 9 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 4⁴? =
  18. 18.5.4 × 10⁴ =
  19. 19.Write (4³)³ as a single power 4ⁿ. What is n?
  20. 20.Write 2.5 × 10⁻¹ as a decimal. =
  21. 21.What is the value of 2¹⁶? =
  22. 22.Write 7.1 × 10⁻² as a decimal. =
  23. 23.Write 1.8 × 10⁻⁴ as a decimal. =
  24. 24.Write 8.9 × 10⁻⁴ as a decimal. =
  25. 25.Write 7⁵ × 7⁹ as a single power 7ⁿ. What is n?
  26. 26.What is the value of 5¹ × 5⁻³? =
  27. 27.9.8 × 10² =
  28. 28.Write 3,20,000 in standard form as 3.2 × 10ⁿ. What is n?
  29. 29.What is the value of (1/5)⁻²? =
  30. 30.What is the value of 8⁴? =
  31. 31.Write 7⁴ × 7⁶ as a single power 7ⁿ. What is n?
  32. 32.What is the value of 2⁶ × 2⁻⁵? =
  33. 33.Write 3.5 × 10⁻¹ as a decimal. =
  34. 34.Write 3⁹ × 3⁴ as a single power 3ⁿ. What is n?
  35. 35.Write (2³)⁴ as a single power 2ⁿ. What is n?
  36. 36.What is the value of 10³? =
  37. 37.What is the value of 5⁶ × 5⁻⁴? =
  38. 38.What is the value of 2¹¹? =
  39. 39.What is the value of 3³ × 3⁻⁶? =
  40. 40.Write 2⁶ × 2⁵ as a single power 2ⁿ. What is n?

Answer key

  1. 5
  2. 1/9
  3. 8
  4. 729
  5. 36/25
  6. 9
  7. 27
  8. 0.016
  9. 65536
  10. 1/3
  11. 0.00075
  12. 46000
  13. 6
  14. 0.0024
  15. 6561
  16. 0.9
  17. 256
  18. 54000
  19. 9
  20. 0.25
  21. 65536
  22. 0.071
  23. 0.00018
  24. 0.00089
  25. 14
  26. 1/25
  27. 980
  28. 5
  29. 25
  30. 4096
  31. 10
  32. 2
  33. 0.35
  34. 13
  35. 12
  36. 1000
  37. 25
  38. 2048
  39. 1/27
  40. 11

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