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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 317 · 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.What is the value of (1/8)⁻¹? =
  2. 2.6.5 × 10⁶ =
  3. 3.What is the value of (2/7)⁻²? =
  4. 4.What is the value of (5/6)⁻²? =
  5. 5.What is the value of 2¹⁴? =
  6. 6.What is the value of (4/5)⁻²? =
  7. 7.What is the value of 2³ × 2⁻²? =
  8. 8.What is the value of 4⁶? =
  9. 9.What is the value of 4⁻⁴ (as a fraction)? =
  10. 10.Write 6.1 × 10⁻¹ as a decimal. =
  11. 11.Write 3⁸ × 3⁸ as a single power 3ⁿ. What is n?
  12. 12.What is the value of 2¹ × 2⁻⁶? =
  13. 13.What is the value of 9³? =
  14. 14.What is the value of 2²? =
  15. 15.Write (6⁶)⁶ as a single power 6ⁿ. What is n?
  16. 16.What is the value of (3/4)⁻¹? =
  17. 17.Write 3² × 3⁷ as a single power 3ⁿ. What is n?
  18. 18.What is the value of 9⁻² (as a fraction)? =
  19. 19.What is the value of 6⁴? =
  20. 20.Write (7²)⁶ as a single power 7ⁿ. What is n?
  21. 21.What is the value of 2⁻⁹ (as a fraction)? =
  22. 22.Write 2⁸ ÷ 2⁴ as a single power 2ⁿ. What is n?
  23. 23.Write 5³ × 5⁷ as a single power 5ⁿ. What is n?
  24. 24.What is the value of 3²? =
  25. 25.Write 3 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of 10¹ × 10⁻²? =
  27. 27.Write 9,80,00,000 in standard form as 9.8 × 10ⁿ. What is n?
  28. 28.8.9 × 10² =
  29. 29.What is the value of 10⁶ × 10⁻¹? =
  30. 30.What is the value of 3⁵ × 3⁻⁴? =
  31. 31.What is the value of 5³? =
  32. 32.Write (2³)² as a single power 2ⁿ. What is n?
  33. 33.What is the value of 2⁶ × 2⁻¹? =
  34. 34.What is the value of 4⁷? =
  35. 35.What is the value of 10² × 10⁻⁶? =
  36. 36.Write 6⁷ × 6⁶ as a single power 6ⁿ. What is n?
  37. 37.Write 8.7 × 10⁻¹ as a decimal. =
  38. 38.Write 2 × 10⁻² as a decimal. =
  39. 39.Write 9,50,000 in standard form as 9.5 × 10ⁿ. What is n?
  40. 40.Write 4.7 × 10⁻² as a decimal. =

Answer key

  1. 8
  2. 6500000
  3. 49/4
  4. 36/25
  5. 16384
  6. 25/16
  7. 2
  8. 4096
  9. 1/256
  10. 0.61
  11. 16
  12. 1/32
  13. 729
  14. 4
  15. 36
  16. 4/3
  17. 9
  18. 1/81
  19. 1296
  20. 12
  21. 1/512
  22. 4
  23. 10
  24. 9
  25. 0.0003
  26. 1/10
  27. 7
  28. 890
  29. 100000
  30. 3
  31. 125
  32. 6
  33. 32
  34. 16384
  35. 1/10000
  36. 13
  37. 0.87
  38. 0.02
  39. 5
  40. 0.047

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