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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 698 · 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 3⁷ ÷ 3⁵ as a single power 3ⁿ. What is n?
  2. 2.Write (3⁵)⁸ as a single power 3ⁿ. What is n?
  3. 3.What is the value of 2⁹? =
  4. 4.Write 8¹⁶ ÷ 8⁷ as a single power 8ⁿ. What is n?
  5. 5.Write 2¹⁴ ÷ 2⁶ as a single power 2ⁿ. What is n?
  6. 6.What is the value of 2⁵? =
  7. 7.What is the value of 5² × 5⁻³? =
  8. 8.What is the value of 2⁴ × 2⁻¹? =
  9. 9.Write 3⁷ ÷ 3³ as a single power 3ⁿ. What is n?
  10. 10.5 × 10² =
  11. 11.8.7 × 10⁷ =
  12. 12.What is the value of 10⁻¹ (as a fraction)? =
  13. 13.What is the value of 5¹ × 5⁻¹? =
  14. 14.What is the value of 2²? =
  15. 15.What is the value of 4⁶? =
  16. 16.What is the value of 6³? =
  17. 17.What is the value of 8²? =
  18. 18.Write 3.1 × 10⁻³ as a decimal. =
  19. 19.What is the value of 2⁵ × 2⁻³? =
  20. 20.What is the value of 5⁴? =
  21. 21.What is the value of 3² × 3⁻⁶? =
  22. 22.What is the value of 4⁷? =
  23. 23.4 × 10⁵ =
  24. 24.What is the value of 2¹ × 2⁻¹? =
  25. 25.What is the value of 3⁻³ (as a fraction)? =
  26. 26.Write 6⁶ ÷ 6² as a single power 6ⁿ. What is n?
  27. 27.Write 7⁵ × 7⁹ as a single power 7ⁿ. What is n?
  28. 28.What is the value of 7⁻² (as a fraction)? =
  29. 29.What is the value of 10⁴ × 10⁻⁶? =
  30. 30.Write 4,60,000 in standard form as 4.6 × 10ⁿ. What is n?
  31. 31.Write 5.8 × 10⁻² as a decimal. =
  32. 32.Write (3⁹)⁴ as a single power 3ⁿ. What is n?
  33. 33.What is the value of 10⁻² (as a fraction)? =
  34. 34.What is the value of (2/7)⁻¹? =
  35. 35.What is the value of 5³? =
  36. 36.7.3 × 10⁶ =
  37. 37.Write 8⁸ ÷ 8⁶ as a single power 8ⁿ. What is n?
  38. 38.Write 7.9 × 10⁻³ as a decimal. =
  39. 39.What is the value of 6⁴? =
  40. 40.Write 3.8 × 10⁻² as a decimal. =

Answer key

  1. 2
  2. 40
  3. 512
  4. 9
  5. 8
  6. 32
  7. 1/5
  8. 8
  9. 4
  10. 500
  11. 87000000
  12. 1/10
  13. 1
  14. 4
  15. 4096
  16. 216
  17. 64
  18. 0.0031
  19. 4
  20. 625
  21. 1/81
  22. 16384
  23. 400000
  24. 1
  25. 1/27
  26. 4
  27. 14
  28. 1/49
  29. 1/100
  30. 5
  31. 0.058
  32. 36
  33. 1/100
  34. 7/2
  35. 125
  36. 7300000
  37. 2
  38. 0.0079
  39. 1296
  40. 0.038

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