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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 905 · 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 (3/7)⁻¹? =
  2. 2.What is the value of 3⁻⁴ (as a fraction)? =
  3. 3.What is the value of 6⁻³ (as a fraction)? =
  4. 4.Write 1.9 × 10⁻¹ as a decimal. =
  5. 5.What is the value of 5⁴? =
  6. 6.What is the value of 5⁵ × 5⁻³? =
  7. 7.Write 8⁴ ÷ 8² as a single power 8ⁿ. What is n?
  8. 8.Write 8 × 10⁻¹ as a decimal. =
  9. 9.What is the value of 10¹ × 10⁻⁴? =
  10. 10.What is the value of (8/9)⁻²? =
  11. 11.What is the value of (3/5)⁻²? =
  12. 12.What is the value of 2⁴ × 2⁻⁵? =
  13. 13.What is the value of (2/7)⁻²? =
  14. 14.1.1 × 10⁴ =
  15. 15.Write 4¹⁰ ÷ 4³ as a single power 4ⁿ. What is n?
  16. 16.6.2 × 10⁷ =
  17. 17.What is the value of 5¹ × 5⁻¹? =
  18. 18.What is the value of (3/8)⁻²? =
  19. 19.What is the value of 2⁴ × 2⁻²? =
  20. 20.Write 9.7 × 10⁻³ as a decimal. =
  21. 21.Write (6³)⁹ as a single power 6ⁿ. What is n?
  22. 22.Write 8¹¹ ÷ 8⁹ as a single power 8ⁿ. What is n?
  23. 23.Write 7,00,00,000 in standard form as 7 × 10ⁿ. What is n?
  24. 24.What is the value of 5⁻³ (as a fraction)? =
  25. 25.Write (6⁸)⁷ as a single power 6ⁿ. What is n?
  26. 26.Write 7.4 × 10⁻³ as a decimal. =
  27. 27.What is the value of 2¹¹? =
  28. 28.What is the value of 9²? =
  29. 29.What is the value of (2/9)⁻¹? =
  30. 30.What is the value of 4⁸? =
  31. 31.Write (2⁵)² as a single power 2ⁿ. What is n?
  32. 32.What is the value of 3⁵? =
  33. 33.What is the value of 6⁵? =
  34. 34.What is the value of 2² × 2⁻¹? =
  35. 35.Write 2.6 × 10⁻⁴ as a decimal. =
  36. 36.Write (4³)⁹ as a single power 4ⁿ. What is n?
  37. 37.What is the value of 6⁴? =
  38. 38.Write 4¹⁶ ÷ 4⁹ as a single power 4ⁿ. What is n?
  39. 39.3.7 × 10⁵ =
  40. 40.Write 9.1 × 10⁻² as a decimal. =

Answer key

  1. 7/3
  2. 1/81
  3. 1/216
  4. 0.19
  5. 625
  6. 25
  7. 2
  8. 0.8
  9. 1/1000
  10. 81/64
  11. 25/9
  12. 1/2
  13. 49/4
  14. 11000
  15. 7
  16. 62000000
  17. 1
  18. 64/9
  19. 4
  20. 0.0097
  21. 27
  22. 2
  23. 7
  24. 1/125
  25. 56
  26. 0.0074
  27. 2048
  28. 81
  29. 9/2
  30. 65536
  31. 10
  32. 243
  33. 7776
  34. 2
  35. 0.00026
  36. 27
  37. 1296
  38. 7
  39. 370000
  40. 0.091

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