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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 634 · 40 sums
TalentJR

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 (5/7)⁻¹? =
  2. 2.Write 9.6 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of 2¹⁰? =
  4. 4.What is the value of 2¹²? =
  5. 5.Write 8¹⁸ ÷ 8⁹ as a single power 8ⁿ. What is n?
  6. 6.What is the value of 2¹ × 2⁻¹? =
  7. 7.What is the value of 3⁶ × 3⁻²? =
  8. 8.Write 1.4 × 10⁻² as a decimal. =
  9. 9.Write 4¹¹ ÷ 4⁴ as a single power 4ⁿ. What is n?
  10. 10.What is the value of 4⁴? =
  11. 11.What is the value of 10³ × 10⁻⁵? =
  12. 12.What is the value of (4/5)⁻²? =
  13. 13.What is the value of 10⁻³ (as a fraction)? =
  14. 14.Write 7¹¹ ÷ 7⁹ as a single power 7ⁿ. What is n?
  15. 15.Write 5¹³ ÷ 5⁶ as a single power 5ⁿ. What is n?
  16. 16.What is the value of 6⁴? =
  17. 17.Write (3⁹)⁷ as a single power 3ⁿ. What is n?
  18. 18.What is the value of 5⁻² (as a fraction)? =
  19. 19.3.1 × 10⁴ =
  20. 20.2.1 × 10⁵ =
  21. 21.Write 9.8 × 10⁻⁴ as a decimal. =
  22. 22.Write 1.4 × 10⁻¹ as a decimal. =
  23. 23.What is the value of 3²? =
  24. 24.What is the value of 3⁴? =
  25. 25.What is the value of 2⁻⁹ (as a fraction)? =
  26. 26.Write 3⁸ ÷ 3⁶ as a single power 3ⁿ. What is n?
  27. 27.Write (9⁷)⁹ as a single power 9ⁿ. What is n?
  28. 28.What is the value of 4²? =
  29. 29.Write 8.9 × 10⁻⁴ as a decimal. =
  30. 30.Write 4⁴ × 4⁸ as a single power 4ⁿ. What is n?
  31. 31.Write 1.8 × 10⁻¹ as a decimal. =
  32. 32.Write 3² × 3³ as a single power 3ⁿ. What is n?
  33. 33.What is the value of 2⁻⁶ (as a fraction)? =
  34. 34.What is the value of 5¹ × 5⁻²? =
  35. 35.What is the value of 3⁻³ (as a fraction)? =
  36. 36.What is the value of 9⁻³ (as a fraction)? =
  37. 37.What is the value of 8⁵? =
  38. 38.Write 6,90,000 in standard form as 6.9 × 10ⁿ. What is n?
  39. 39.Write 2.5 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of 9⁵? =

Answer key

  1. 7/5
  2. 0.00096
  3. 1024
  4. 4096
  5. 9
  6. 1
  7. 81
  8. 0.014
  9. 7
  10. 256
  11. 1/100
  12. 25/16
  13. 1/1000
  14. 2
  15. 7
  16. 1296
  17. 63
  18. 1/25
  19. 31000
  20. 210000
  21. 0.00098
  22. 0.14
  23. 9
  24. 81
  25. 1/512
  26. 2
  27. 63
  28. 16
  29. 0.00089
  30. 12
  31. 0.18
  32. 5
  33. 1/64
  34. 1/5
  35. 1/27
  36. 1/729
  37. 32768
  38. 5
  39. 0.00025
  40. 59049

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