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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 334 · 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 3² × 3⁻¹? =
  2. 2.Write 6.5 × 10⁻³ as a decimal. =
  3. 3.What is the value of (3/5)⁻¹? =
  4. 4.Write 8² × 8⁴ as a single power 8ⁿ. What is n?
  5. 5.Write 7.6 × 10⁻¹ as a decimal. =
  6. 6.What is the value of (4/5)⁻²? =
  7. 7.What is the value of 10⁶ × 10⁻²? =
  8. 8.What is the value of 10⁶ × 10⁻¹? =
  9. 9.What is the value of (3/7)⁻²? =
  10. 10.What is the value of 6⁻³ (as a fraction)? =
  11. 11.What is the value of 7⁻³ (as a fraction)? =
  12. 12.What is the value of 3⁵? =
  13. 13.What is the value of 3⁶ × 3⁻⁵? =
  14. 14.Write 4¹² ÷ 4⁷ as a single power 4ⁿ. What is n?
  15. 15.Write 5.1 × 10⁻² as a decimal. =
  16. 16.Write 2⁹ × 2⁸ as a single power 2ⁿ. What is n?
  17. 17.What is the value of 3²? =
  18. 18.What is the value of 3¹⁰? =
  19. 19.Write 4⁸ ÷ 4⁴ as a single power 4ⁿ. What is n?
  20. 20.What is the value of 10¹ × 10⁻⁶? =
  21. 21.What is the value of 10⁵ × 10⁻²? =
  22. 22.Write 9.5 × 10⁻² as a decimal. =
  23. 23.What is the value of 8⁻¹ (as a fraction)? =
  24. 24.5 × 10⁵ =
  25. 25.Write 2¹⁴ ÷ 2⁷ as a single power 2ⁿ. What is n?
  26. 26.Write (4⁴)² as a single power 4ⁿ. What is n?
  27. 27.What is the value of (2/3)⁻¹? =
  28. 28.What is the value of 6⁵? =
  29. 29.What is the value of 3¹ × 3⁻⁵? =
  30. 30.What is the value of 10¹ × 10⁻³? =
  31. 31.What is the value of 10⁴ × 10⁻⁴? =
  32. 32.What is the value of 8⁴? =
  33. 33.Write 4.6 × 10⁻² as a decimal. =
  34. 34.What is the value of 5³? =
  35. 35.5.7 × 10² =
  36. 36.Write 9.4 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 9⁻¹ (as a fraction)? =
  38. 38.What is the value of 2⁷? =
  39. 39.What is the value of 5² × 5⁻⁵? =
  40. 40.What is the value of 6⁻¹ (as a fraction)? =

Answer key

  1. 3
  2. 0.0065
  3. 5/3
  4. 6
  5. 0.76
  6. 25/16
  7. 10000
  8. 100000
  9. 49/9
  10. 1/216
  11. 1/343
  12. 243
  13. 3
  14. 5
  15. 0.051
  16. 17
  17. 9
  18. 59049
  19. 4
  20. 1/100000
  21. 1000
  22. 0.095
  23. 1/8
  24. 500000
  25. 7
  26. 8
  27. 3/2
  28. 7776
  29. 1/81
  30. 1/100
  31. 1
  32. 4096
  33. 0.046
  34. 125
  35. 570
  36. 0.00094
  37. 1/9
  38. 128
  39. 1/125
  40. 1/6

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