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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 353 · 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 5¹⁸ ÷ 5⁹ as a single power 5ⁿ. What is n?
  2. 2.Write 2.7 × 10⁻⁴ as a decimal. =
  3. 3.Write (3⁷)³ as a single power 3ⁿ. What is n?
  4. 4.Write 6.7 × 10⁻¹ as a decimal. =
  5. 5.What is the value of 7⁻¹ (as a fraction)? =
  6. 6.What is the value of 2¹⁴? =
  7. 7.What is the value of 7⁻² (as a fraction)? =
  8. 8.What is the value of 7⁵? =
  9. 9.What is the value of 2¹⁵? =
  10. 10.Write 5.7 × 10⁻¹ as a decimal. =
  11. 11.Write 2¹² ÷ 2⁵ as a single power 2ⁿ. What is n?
  12. 12.What is the value of 3³ × 3⁻¹? =
  13. 13.Write 2.2 × 10⁻² as a decimal. =
  14. 14.What is the value of 8³? =
  15. 15.Write (5⁸)³ as a single power 5ⁿ. What is n?
  16. 16.Write (8⁵)² as a single power 8ⁿ. What is n?
  17. 17.Write 7⁸ ÷ 7⁵ as a single power 7ⁿ. What is n?
  18. 18.Write (2²)⁷ as a single power 2ⁿ. What is n?
  19. 19.What is the value of (5/8)⁻¹? =
  20. 20.Write 79,000 in standard form as 7.9 × 10ⁿ. What is n?
  21. 21.Write 5² × 5³ as a single power 5ⁿ. What is n?
  22. 22.Write 2.5 × 10⁻³ as a decimal. =
  23. 23.Write 4.9 × 10⁻² as a decimal. =
  24. 24.What is the value of 2² × 2⁻⁵? =
  25. 25.Write 5.4 × 10⁻⁴ as a decimal. =
  26. 26.Write 8² × 8⁵ as a single power 8ⁿ. What is n?
  27. 27.What is the value of 8²? =
  28. 28.What is the value of 2³? =
  29. 29.What is the value of 5⁶ × 5⁻⁴? =
  30. 30.What is the value of 4⁸? =
  31. 31.Write 9,80,00,000 in standard form as 9.8 × 10ⁿ. What is n?
  32. 32.What is the value of 3² × 3⁻³? =
  33. 33.What is the value of 10² × 10⁻⁶? =
  34. 34.What is the value of 3⁴ × 3⁻⁵? =
  35. 35.What is the value of 3⁶ × 3⁻³? =
  36. 36.Write 5.9 × 10⁻³ as a decimal. =
  37. 37.Write 31,00,000 in standard form as 3.1 × 10ⁿ. What is n?
  38. 38.What is the value of 10² × 10⁻⁵? =
  39. 39.What is the value of 3⁻⁶ (as a fraction)? =
  40. 40.What is the value of 2¹³? =

Answer key

  1. 9
  2. 0.00027
  3. 21
  4. 0.67
  5. 1/7
  6. 16384
  7. 1/49
  8. 16807
  9. 32768
  10. 0.57
  11. 7
  12. 9
  13. 0.022
  14. 512
  15. 24
  16. 10
  17. 3
  18. 14
  19. 8/5
  20. 4
  21. 5
  22. 0.0025
  23. 0.049
  24. 1/8
  25. 0.00054
  26. 7
  27. 64
  28. 8
  29. 25
  30. 65536
  31. 7
  32. 1/3
  33. 1/10000
  34. 1/3
  35. 27
  36. 0.0059
  37. 6
  38. 1/1000
  39. 1/729
  40. 8192

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