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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 619 · 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. 1.3.7 × 10² =
  2. 2.Write 9² × 9⁷ as a single power 9ⁿ. What is n?
  3. 3.Write 1.4 × 10⁻¹ as a decimal. =
  4. 4.Write 4⁶ × 4⁹ as a single power 4ⁿ. What is n?
  5. 5.What is the value of 2² × 2⁻⁶? =
  6. 6.Write (5³)⁹ as a single power 5ⁿ. What is n?
  7. 7.What is the value of 5² × 5⁻¹? =
  8. 8.Write 2,70,000 in standard form as 2.7 × 10ⁿ. What is n?
  9. 9.Write 8⁵ × 8² as a single power 8ⁿ. What is n?
  10. 10.Write 11,000 in standard form as 1.1 × 10ⁿ. What is n?
  11. 11.Write 6.2 × 10⁻⁴ as a decimal. =
  12. 12.Write 6.1 × 10⁻⁴ as a decimal. =
  13. 13.Write 9¹² ÷ 9⁹ as a single power 9ⁿ. What is n?
  14. 14.2.8 × 10⁵ =
  15. 15.What is the value of 3⁻⁵ (as a fraction)? =
  16. 16.What is the value of 9⁵? =
  17. 17.What is the value of 2⁴? =
  18. 18.What is the value of 7⁵? =
  19. 19.Write 3² × 3² as a single power 3ⁿ. What is n?
  20. 20.Write 1.7 × 10⁻² as a decimal. =
  21. 21.Write 6⁹ × 6³ as a single power 6ⁿ. What is n?
  22. 22.What is the value of 5⁻¹ (as a fraction)? =
  23. 23.Write 9.4 × 10⁻³ as a decimal. =
  24. 24.7.7 × 10⁵ =
  25. 25.What is the value of 2¹⁰? =
  26. 26.What is the value of 6³? =
  27. 27.Write 4.1 × 10⁻² as a decimal. =
  28. 28.Write 6⁷ × 6⁷ as a single power 6ⁿ. What is n?
  29. 29.Write 2¹⁶ ÷ 2⁷ as a single power 2ⁿ. What is n?
  30. 30.Write 5 × 10⁻¹ as a decimal. =
  31. 31.5.3 × 10⁶ =
  32. 32.What is the value of 10⁵? =
  33. 33.Write 2⁴ × 2⁷ as a single power 2ⁿ. What is n?
  34. 34.Write 18,00,000 in standard form as 1.8 × 10ⁿ. What is n?
  35. 35.What is the value of (3/4)⁻¹? =
  36. 36.What is the value of 2⁵ × 2⁻²? =
  37. 37.Write 1.5 × 10⁻³ as a decimal. =
  38. 38.Write 3⁶ × 3² as a single power 3ⁿ. What is n?
  39. 39.Write (3²)⁴ as a single power 3ⁿ. What is n?
  40. 40.What is the value of 6²? =

Answer key

  1. 370
  2. 9
  3. 0.14
  4. 15
  5. 1/16
  6. 27
  7. 5
  8. 5
  9. 7
  10. 4
  11. 0.00062
  12. 0.00061
  13. 3
  14. 280000
  15. 1/243
  16. 59049
  17. 16
  18. 16807
  19. 4
  20. 0.017
  21. 12
  22. 1/5
  23. 0.0094
  24. 770000
  25. 1024
  26. 216
  27. 0.041
  28. 14
  29. 9
  30. 0.5
  31. 5300000
  32. 100000
  33. 11
  34. 6
  35. 4/3
  36. 8
  37. 0.0015
  38. 8
  39. 8
  40. 36

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