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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 740 · 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.Write (8⁸)⁶ as a single power 8ⁿ. What is n?
  2. 2.9.8 × 10³ =
  3. 3.Write (2⁴)⁴ as a single power 2ⁿ. What is n?
  4. 4.What is the value of (5/9)⁻²? =
  5. 5.What is the value of 6²? =
  6. 6.What is the value of 3⁻² (as a fraction)? =
  7. 7.Write 420 in standard form as 4.2 × 10ⁿ. What is n?
  8. 8.Write 8⁸ ÷ 8⁶ as a single power 8ⁿ. What is n?
  9. 9.What is the value of 2⁸? =
  10. 10.Write 5² × 5⁵ as a single power 5ⁿ. What is n?
  11. 11.9.2 × 10³ =
  12. 12.What is the value of 10⁶ × 10⁻³? =
  13. 13.What is the value of 10⁴? =
  14. 14.What is the value of 2⁹? =
  15. 15.1.2 × 10⁵ =
  16. 16.5.2 × 10² =
  17. 17.8.1 × 10⁷ =
  18. 18.Write (3⁹)³ as a single power 3ⁿ. What is n?
  19. 19.What is the value of 4²? =
  20. 20.What is the value of 2³ × 2⁻⁵? =
  21. 21.Write (5³)⁴ as a single power 5ⁿ. What is n?
  22. 22.What is the value of (1/4)⁻¹? =
  23. 23.Write 4.3 × 10⁻¹ as a decimal. =
  24. 24.Write 6.4 × 10⁻³ as a decimal. =
  25. 25.What is the value of 3¹⁰? =
  26. 26.What is the value of 10¹ × 10⁻³? =
  27. 27.What is the value of (1/6)⁻²? =
  28. 28.Write 8.1 × 10⁻³ as a decimal. =
  29. 29.Write 2⁴ × 2⁹ as a single power 2ⁿ. What is n?
  30. 30.What is the value of 9³? =
  31. 31.What is the value of 4³? =
  32. 32.What is the value of 2¹⁰? =
  33. 33.What is the value of (3/8)⁻²? =
  34. 34.What is the value of 2⁻⁸ (as a fraction)? =
  35. 35.Write 6.6 × 10⁻² as a decimal. =
  36. 36.Write (7⁵)² as a single power 7ⁿ. What is n?
  37. 37.Write 2.7 × 10⁻¹ as a decimal. =
  38. 38.What is the value of 10⁻¹ (as a fraction)? =
  39. 39.Write 2¹³ ÷ 2⁹ as a single power 2ⁿ. What is n?
  40. 40.What is the value of (3/4)⁻²? =

Answer key

  1. 48
  2. 9800
  3. 16
  4. 81/25
  5. 36
  6. 1/9
  7. 2
  8. 2
  9. 256
  10. 7
  11. 9200
  12. 1000
  13. 10000
  14. 512
  15. 120000
  16. 520
  17. 81000000
  18. 27
  19. 16
  20. 1/4
  21. 12
  22. 4
  23. 0.43
  24. 0.0064
  25. 59049
  26. 1/100
  27. 36
  28. 0.0081
  29. 13
  30. 729
  31. 64
  32. 1024
  33. 64/9
  34. 1/256
  35. 0.066
  36. 10
  37. 0.27
  38. 1/10
  39. 4
  40. 16/9

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