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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 745 · 40 sums
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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 3¹⁷ ÷ 3⁹ as a single power 3ⁿ. What is n?
  2. 2.What is the value of 3⁵? =
  3. 3.Write 8⁹ × 8⁸ as a single power 8ⁿ. What is n?
  4. 4.What is the value of 5⁴? =
  5. 5.1.9 × 10⁶ =
  6. 6.Write (3⁸)² as a single power 3ⁿ. What is n?
  7. 7.What is the value of 10⁵? =
  8. 8.What is the value of (2/5)⁻²? =
  9. 9.What is the value of (3/5)⁻²? =
  10. 10.Write 6.7 × 10⁻³ as a decimal. =
  11. 11.Write 5² × 5⁹ as a single power 5ⁿ. What is n?
  12. 12.Write 4.9 × 10⁻¹ as a decimal. =
  13. 13.Write (4²)⁹ as a single power 4ⁿ. What is n?
  14. 14.Write 7⁸ ÷ 7² as a single power 7ⁿ. What is n?
  15. 15.Write 80,000 in standard form as 8 × 10ⁿ. What is n?
  16. 16.What is the value of 5⁶? =
  17. 17.What is the value of 4⁷? =
  18. 18.Write (8⁹)² as a single power 8ⁿ. What is n?
  19. 19.Write 8.3 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 7³? =
  21. 21.What is the value of 10⁻³ (as a fraction)? =
  22. 22.What is the value of 3⁻¹ (as a fraction)? =
  23. 23.What is the value of 7⁵? =
  24. 24.6.7 × 10⁶ =
  25. 25.Write 5,80,00,000 in standard form as 5.8 × 10ⁿ. What is n?
  26. 26.What is the value of 2⁻⁹ (as a fraction)? =
  27. 27.What is the value of 2² × 2⁻¹? =
  28. 28.Write 4⁹ ÷ 4⁷ as a single power 4ⁿ. What is n?
  29. 29.What is the value of 2⁵ × 2⁻³? =
  30. 30.Write 860 in standard form as 8.6 × 10ⁿ. What is n?
  31. 31.Write 6⁶ × 6⁶ as a single power 6ⁿ. What is n?
  32. 32.What is the value of 10⁵ × 10⁻¹? =
  33. 33.Write (3³)⁴ as a single power 3ⁿ. What is n?
  34. 34.9.3 × 10³ =
  35. 35.What is the value of 2¹⁶? =
  36. 36.What is the value of 5⁵? =
  37. 37.Write 7.4 × 10⁻⁴ as a decimal. =
  38. 38.Write 3,10,000 in standard form as 3.1 × 10ⁿ. What is n?
  39. 39.What is the value of 9⁻³ (as a fraction)? =
  40. 40.What is the value of (5/6)⁻¹? =

Answer key

  1. 8
  2. 243
  3. 17
  4. 625
  5. 1900000
  6. 16
  7. 100000
  8. 25/4
  9. 25/9
  10. 0.0067
  11. 11
  12. 0.49
  13. 18
  14. 6
  15. 4
  16. 15625
  17. 16384
  18. 18
  19. 0.83
  20. 343
  21. 1/1000
  22. 1/3
  23. 16807
  24. 6700000
  25. 7
  26. 1/512
  27. 2
  28. 2
  29. 4
  30. 2
  31. 12
  32. 10000
  33. 12
  34. 9300
  35. 65536
  36. 3125
  37. 0.00074
  38. 5
  39. 1/729
  40. 6/5

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