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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 739 · 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 (5/9)⁻¹? =
  2. 2.What is the value of 2⁻⁸ (as a fraction)? =
  3. 3.What is the value of 2⁵ × 2⁻³? =
  4. 4.What is the value of 7³? =
  5. 5.Write (8²)⁹ as a single power 8ⁿ. What is n?
  6. 6.What is the value of (1/4)⁻²? =
  7. 7.What is the value of 3¹ × 3⁻³? =
  8. 8.What is the value of 3³? =
  9. 9.Write 7.9 × 10⁻² as a decimal. =
  10. 10.3 × 10⁴ =
  11. 11.Write 8⁵ × 8⁵ as a single power 8ⁿ. What is n?
  12. 12.What is the value of 5²? =
  13. 13.Write 8⁷ ÷ 8⁴ as a single power 8ⁿ. What is n?
  14. 14.Write 1,700 in standard form as 1.7 × 10ⁿ. What is n?
  15. 15.What is the value of 5⁻¹ (as a fraction)? =
  16. 16.Write 6.7 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 3⁷? =
  18. 18.Write (5³)² as a single power 5ⁿ. What is n?
  19. 19.2.4 × 10⁵ =
  20. 20.Write 5⁷ ÷ 5⁴ as a single power 5ⁿ. What is n?
  21. 21.What is the value of (4/9)⁻²? =
  22. 22.What is the value of 5⁴? =
  23. 23.Write 27,000 in standard form as 2.7 × 10ⁿ. What is n?
  24. 24.What is the value of 2⁶ × 2⁻⁴? =
  25. 25.What is the value of 6⁴? =
  26. 26.Write 2,40,00,000 in standard form as 2.4 × 10ⁿ. What is n?
  27. 27.What is the value of 10² × 10⁻⁴? =
  28. 28.What is the value of 2¹ × 2⁻¹? =
  29. 29.Write (3⁷)⁷ as a single power 3ⁿ. What is n?
  30. 30.Write 8.8 × 10⁻⁴ as a decimal. =
  31. 31.Write 5⁵ × 5² as a single power 5ⁿ. What is n?
  32. 32.What is the value of 6²? =
  33. 33.Write 2.6 × 10⁻¹ as a decimal. =
  34. 34.Write 4¹² ÷ 4⁹ as a single power 4ⁿ. What is n?
  35. 35.2.4 × 10⁶ =
  36. 36.Write 5⁹ × 5³ as a single power 5ⁿ. What is n?
  37. 37.Write 1.7 × 10⁻⁴ as a decimal. =
  38. 38.9.7 × 10⁵ =
  39. 39.Write 5⁸ × 5⁸ as a single power 5ⁿ. What is n?
  40. 40.2.2 × 10⁷ =

Answer key

  1. 9/5
  2. 1/256
  3. 4
  4. 343
  5. 18
  6. 16
  7. 1/9
  8. 27
  9. 0.079
  10. 30000
  11. 10
  12. 25
  13. 3
  14. 3
  15. 1/5
  16. 0.67
  17. 2187
  18. 6
  19. 240000
  20. 3
  21. 81/16
  22. 625
  23. 4
  24. 4
  25. 1296
  26. 7
  27. 1/100
  28. 1
  29. 49
  30. 0.00088
  31. 7
  32. 36
  33. 0.26
  34. 3
  35. 2400000
  36. 12
  37. 0.00017
  38. 970000
  39. 16
  40. 22000000

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