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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 351 · 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. 1.5.7 × 10⁷ =
  2. 2.Write 1.2 × 10⁻¹ as a decimal. =
  3. 3.2.7 × 10² =
  4. 4.Write 2.6 × 10⁻³ as a decimal. =
  5. 5.What is the value of (3/4)⁻¹? =
  6. 6.Write (8⁹)⁸ as a single power 8ⁿ. What is n?
  7. 7.Write 4⁹ ÷ 4⁴ as a single power 4ⁿ. What is n?
  8. 8.Write 15,00,000 in standard form as 1.5 × 10ⁿ. What is n?
  9. 9.What is the value of 2⁵ × 2⁻⁵? =
  10. 10.What is the value of 5¹ × 5⁻¹? =
  11. 11.What is the value of 2⁻⁴ (as a fraction)? =
  12. 12.Write 5.6 × 10⁻³ as a decimal. =
  13. 13.What is the value of 2²? =
  14. 14.3.2 × 10² =
  15. 15.What is the value of 3⁻⁶ (as a fraction)? =
  16. 16.What is the value of 3⁶ × 3⁻⁴? =
  17. 17.Write 3.7 × 10⁻⁴ as a decimal. =
  18. 18.What is the value of 9⁵? =
  19. 19.Write 3⁸ × 3² as a single power 3ⁿ. What is n?
  20. 20.Write 4,80,000 in standard form as 4.8 × 10ⁿ. What is n?
  21. 21.Write (6⁶)⁹ as a single power 6ⁿ. What is n?
  22. 22.What is the value of 3¹ × 3⁻³? =
  23. 23.Write 6⁷ × 6² as a single power 6ⁿ. What is n?
  24. 24.What is the value of 2⁻⁷ (as a fraction)? =
  25. 25.What is the value of (1/4)⁻²? =
  26. 26.Write 9¹² ÷ 9⁷ as a single power 9ⁿ. What is n?
  27. 27.Write (8⁹)³ as a single power 8ⁿ. What is n?
  28. 28.Write 3⁶ × 3² as a single power 3ⁿ. What is n?
  29. 29.What is the value of 5⁴ × 5⁻⁴? =
  30. 30.8.9 × 10⁶ =
  31. 31.Write 8³ × 8⁸ as a single power 8ⁿ. What is n?
  32. 32.What is the value of 10² × 10⁻²? =
  33. 33.Write 6³ × 6⁴ as a single power 6ⁿ. What is n?
  34. 34.Write 8.2 × 10⁻² as a decimal. =
  35. 35.7.9 × 10⁵ =
  36. 36.Write (4⁶)⁸ as a single power 4ⁿ. What is n?
  37. 37.Write 2.4 × 10⁻² as a decimal. =
  38. 38.Write 4.2 × 10⁻⁴ as a decimal. =
  39. 39.Write 7.7 × 10⁻³ as a decimal. =
  40. 40.What is the value of 2¹⁴? =

Answer key

  1. 57000000
  2. 0.12
  3. 270
  4. 0.0026
  5. 4/3
  6. 72
  7. 5
  8. 6
  9. 1
  10. 1
  11. 1/16
  12. 0.0056
  13. 4
  14. 320
  15. 1/729
  16. 9
  17. 0.00037
  18. 59049
  19. 10
  20. 5
  21. 54
  22. 1/9
  23. 9
  24. 1/128
  25. 16
  26. 5
  27. 27
  28. 8
  29. 1
  30. 8900000
  31. 11
  32. 1
  33. 7
  34. 0.082
  35. 790000
  36. 48
  37. 0.024
  38. 0.00042
  39. 0.0077
  40. 16384

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