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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 176 · 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 (1/2)⁻¹? =
  2. 2.What is the value of 5³ × 5⁻³? =
  3. 3.What is the value of (3/5)⁻²? =
  4. 4.What is the value of 2⁵ × 2⁻²? =
  5. 5.1.7 × 10⁷ =
  6. 6.What is the value of 2⁻⁹ (as a fraction)? =
  7. 7.Write 3.8 × 10⁻² as a decimal. =
  8. 8.What is the value of 4⁷? =
  9. 9.What is the value of 3⁵ × 3⁻³? =
  10. 10.6.3 × 10⁵ =
  11. 11.Write 4¹² ÷ 4⁴ as a single power 4ⁿ. What is n?
  12. 12.What is the value of 4⁻³ (as a fraction)? =
  13. 13.What is the value of 5⁻⁴ (as a fraction)? =
  14. 14.What is the value of 10¹ × 10⁻³? =
  15. 15.What is the value of 2¹¹? =
  16. 16.Write (8⁹)⁵ as a single power 8ⁿ. What is n?
  17. 17.What is the value of 5⁻² (as a fraction)? =
  18. 18.Write 5¹³ ÷ 5⁴ as a single power 5ⁿ. What is n?
  19. 19.Write 9.9 × 10⁻² as a decimal. =
  20. 20.What is the value of 9⁻¹ (as a fraction)? =
  21. 21.What is the value of 5² × 5⁻¹? =
  22. 22.Write 2¹⁰ ÷ 2⁸ as a single power 2ⁿ. What is n?
  23. 23.What is the value of 7²? =
  24. 24.What is the value of 3⁻¹ (as a fraction)? =
  25. 25.Write 2⁹ ÷ 2⁷ as a single power 2ⁿ. What is n?
  26. 26.What is the value of 4⁵? =
  27. 27.Write 4² × 4⁴ as a single power 4ⁿ. What is n?
  28. 28.What is the value of 7⁻¹ (as a fraction)? =
  29. 29.3 × 10⁴ =
  30. 30.Write 5.2 × 10⁻³ as a decimal. =
  31. 31.Write 2.6 × 10⁻² as a decimal. =
  32. 32.Write (2⁶)⁸ as a single power 2ⁿ. What is n?
  33. 33.4.5 × 10⁷ =
  34. 34.What is the value of (2/7)⁻²? =
  35. 35.Write (7³)² as a single power 7ⁿ. What is n?
  36. 36.What is the value of 5³ × 5⁻¹? =
  37. 37.What is the value of 3⁶ × 3⁻⁵? =
  38. 38.What is the value of 5⁶ × 5⁻⁴? =
  39. 39.2.4 × 10⁵ =
  40. 40.What is the value of (1/3)⁻¹? =

Answer key

  1. 2
  2. 1
  3. 25/9
  4. 8
  5. 17000000
  6. 1/512
  7. 0.038
  8. 16384
  9. 9
  10. 630000
  11. 8
  12. 1/64
  13. 1/625
  14. 1/100
  15. 2048
  16. 45
  17. 1/25
  18. 9
  19. 0.099
  20. 1/9
  21. 5
  22. 2
  23. 49
  24. 1/3
  25. 2
  26. 1024
  27. 6
  28. 1/7
  29. 30000
  30. 0.0052
  31. 0.026
  32. 48
  33. 45000000
  34. 49/4
  35. 6
  36. 25
  37. 3
  38. 25
  39. 240000
  40. 3

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