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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 504 · 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 (1/7)⁻²? =
  2. 2.Write 6.6 × 10⁻⁴ as a decimal. =
  3. 3.Write (4⁵)³ as a single power 4ⁿ. What is n?
  4. 4.What is the value of 5⁵ × 5⁻¹? =
  5. 5.What is the value of 8²? =
  6. 6.What is the value of 9⁴? =
  7. 7.Write 8⁹ ÷ 8² as a single power 8ⁿ. What is n?
  8. 8.Write (3⁴)⁸ as a single power 3ⁿ. What is n?
  9. 9.What is the value of 2⁸? =
  10. 10.Write 8.1 × 10⁻¹ as a decimal. =
  11. 11.Write (2³)⁹ as a single power 2ⁿ. What is n?
  12. 12.Write 9.9 × 10⁻⁴ as a decimal. =
  13. 13.Write 4.4 × 10⁻¹ as a decimal. =
  14. 14.Write 6.5 × 10⁻¹ as a decimal. =
  15. 15.Write (4⁹)⁵ as a single power 4ⁿ. What is n?
  16. 16.What is the value of 4⁷? =
  17. 17.What is the value of 10⁴? =
  18. 18.Write 44,000 in standard form as 4.4 × 10ⁿ. What is n?
  19. 19.What is the value of 10⁶ × 10⁻⁶? =
  20. 20.3 × 10⁵ =
  21. 21.What is the value of 9³? =
  22. 22.Write 5¹⁰ ÷ 5⁸ as a single power 5ⁿ. What is n?
  23. 23.Write (2³)⁶ as a single power 2ⁿ. What is n?
  24. 24.What is the value of 10² × 10⁻⁵? =
  25. 25.What is the value of 3⁸? =
  26. 26.Write 5.8 × 10⁻⁴ as a decimal. =
  27. 27.What is the value of 7³? =
  28. 28.What is the value of 2² × 2⁻³? =
  29. 29.What is the value of (5/9)⁻²? =
  30. 30.What is the value of 2⁻⁹ (as a fraction)? =
  31. 31.What is the value of 2⁶? =
  32. 32.What is the value of 3⁶ × 3⁻³? =
  33. 33.What is the value of 9⁻³ (as a fraction)? =
  34. 34.What is the value of 4⁴? =
  35. 35.Write 7.3 × 10⁻² as a decimal. =
  36. 36.Write 3¹² ÷ 3³ as a single power 3ⁿ. What is n?
  37. 37.Write 4⁹ × 4⁷ as a single power 4ⁿ. What is n?
  38. 38.7.8 × 10⁷ =
  39. 39.What is the value of 6³? =
  40. 40.What is the value of 10¹ × 10⁻³? =

Answer key

  1. 49
  2. 0.00066
  3. 15
  4. 625
  5. 64
  6. 6561
  7. 7
  8. 32
  9. 256
  10. 0.81
  11. 27
  12. 0.00099
  13. 0.44
  14. 0.65
  15. 45
  16. 16384
  17. 10000
  18. 4
  19. 1
  20. 300000
  21. 729
  22. 2
  23. 18
  24. 1/1000
  25. 6561
  26. 0.00058
  27. 343
  28. 1/2
  29. 81/25
  30. 1/512
  31. 64
  32. 27
  33. 1/729
  34. 256
  35. 0.073
  36. 9
  37. 16
  38. 78000000
  39. 216
  40. 1/100

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