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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 18 · 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 (1/8)⁻¹? =
  2. 2.Write 8⁵ ÷ 8² as a single power 8ⁿ. What is n?
  3. 3.What is the value of (4/7)⁻¹? =
  4. 4.What is the value of 8⁻¹ (as a fraction)? =
  5. 5.What is the value of 10¹ × 10⁻⁴? =
  6. 6.What is the value of 3⁶? =
  7. 7.Write 7⁸ ÷ 7⁴ as a single power 7ⁿ. What is n?
  8. 8.9.1 × 10⁷ =
  9. 9.Write 4,80,00,000 in standard form as 4.8 × 10ⁿ. What is n?
  10. 10.8 × 10² =
  11. 11.What is the value of 9⁵? =
  12. 12.Write 5¹¹ ÷ 5⁴ as a single power 5ⁿ. What is n?
  13. 13.Write 3³ × 3⁴ as a single power 3ⁿ. What is n?
  14. 14.What is the value of (5/6)⁻¹? =
  15. 15.What is the value of 9⁻² (as a fraction)? =
  16. 16.Write 3⁸ × 3⁶ as a single power 3ⁿ. What is n?
  17. 17.Write (4²)⁷ as a single power 4ⁿ. What is n?
  18. 18.Write (4³)⁹ as a single power 4ⁿ. What is n?
  19. 19.Write 3⁷ × 3³ as a single power 3ⁿ. What is n?
  20. 20.What is the value of 2⁴? =
  21. 21.Write 9.1 × 10⁻² as a decimal. =
  22. 22.What is the value of 4⁻⁴ (as a fraction)? =
  23. 23.What is the value of 2¹¹? =
  24. 24.Write (4⁴)⁵ as a single power 4ⁿ. What is n?
  25. 25.What is the value of 3³? =
  26. 26.What is the value of 3⁵ × 3⁻⁶? =
  27. 27.Write 4.4 × 10⁻⁴ as a decimal. =
  28. 28.Write 3.9 × 10⁻⁴ as a decimal. =
  29. 29.Write (5²)⁷ as a single power 5ⁿ. What is n?
  30. 30.What is the value of (5/6)⁻²? =
  31. 31.What is the value of 2⁸? =
  32. 32.7.7 × 10⁵ =
  33. 33.What is the value of 5⁶? =
  34. 34.Write (2⁷)⁴ as a single power 2ⁿ. What is n?
  35. 35.What is the value of 3⁻² (as a fraction)? =
  36. 36.What is the value of (1/4)⁻¹? =
  37. 37.What is the value of 3⁴ × 3⁻⁶? =
  38. 38.What is the value of 3⁹? =
  39. 39.What is the value of 4⁻³ (as a fraction)? =
  40. 40.Write 6⁸ × 6³ as a single power 6ⁿ. What is n?

Answer key

  1. 8
  2. 3
  3. 7/4
  4. 1/8
  5. 1/1000
  6. 729
  7. 4
  8. 91000000
  9. 7
  10. 800
  11. 59049
  12. 7
  13. 7
  14. 6/5
  15. 1/81
  16. 14
  17. 14
  18. 27
  19. 10
  20. 16
  21. 0.091
  22. 1/256
  23. 2048
  24. 20
  25. 27
  26. 1/3
  27. 0.00044
  28. 0.00039
  29. 14
  30. 36/25
  31. 256
  32. 770000
  33. 15625
  34. 28
  35. 1/9
  36. 4
  37. 1/9
  38. 19683
  39. 1/64
  40. 11

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