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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 106 · 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 3³ × 3⁻¹? =
  2. 2.Write 5.6 × 10⁻¹ as a decimal. =
  3. 3.What is the value of 5³? =
  4. 4.Write 8¹⁵ ÷ 8⁹ as a single power 8ⁿ. What is n?
  5. 5.What is the value of 10²? =
  6. 6.Write 4 × 10⁻² as a decimal. =
  7. 7.Write (4⁹)³ as a single power 4ⁿ. What is n?
  8. 8.9.2 × 10² =
  9. 9.Write 4¹⁷ ÷ 4⁸ as a single power 4ⁿ. What is n?
  10. 10.What is the value of 2¹³? =
  11. 11.What is the value of (4/9)⁻¹? =
  12. 12.Write 6.6 × 10⁻⁴ as a decimal. =
  13. 13.Write 4⁶ × 4⁴ as a single power 4ⁿ. What is n?
  14. 14.Write 2.6 × 10⁻³ as a decimal. =
  15. 15.What is the value of (3/7)⁻²? =
  16. 16.Write 5⁴ × 5⁶ as a single power 5ⁿ. What is n?
  17. 17.What is the value of 5¹ × 5⁻⁴? =
  18. 18.3.9 × 10⁴ =
  19. 19.Write 2⁷ × 2⁹ as a single power 2ⁿ. What is n?
  20. 20.What is the value of 3⁹? =
  21. 21.What is the value of 4⁻² (as a fraction)? =
  22. 22.What is the value of 2³? =
  23. 23.What is the value of 10⁴? =
  24. 24.What is the value of 2¹⁶? =
  25. 25.What is the value of 3⁻⁵ (as a fraction)? =
  26. 26.Write (2⁷)⁵ as a single power 2ⁿ. What is n?
  27. 27.What is the value of 2⁷? =
  28. 28.What is the value of 5⁵? =
  29. 29.Write (2⁵)³ as a single power 2ⁿ. What is n?
  30. 30.1.8 × 10² =
  31. 31.Write (7⁸)⁵ as a single power 7ⁿ. What is n?
  32. 32.What is the value of 10⁻³ (as a fraction)? =
  33. 33.Write (9³)³ as a single power 9ⁿ. What is n?
  34. 34.What is the value of 3³? =
  35. 35.Write 4¹⁰ ÷ 4² as a single power 4ⁿ. What is n?
  36. 36.Write 1.1 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 7⁻³ (as a fraction)? =
  38. 38.Write 6¹⁵ ÷ 6⁸ as a single power 6ⁿ. What is n?
  39. 39.What is the value of 2⁶ × 2⁻⁶? =
  40. 40.5.8 × 10⁷ =

Answer key

  1. 9
  2. 0.56
  3. 125
  4. 6
  5. 100
  6. 0.04
  7. 27
  8. 920
  9. 9
  10. 8192
  11. 9/4
  12. 0.00066
  13. 10
  14. 0.0026
  15. 49/9
  16. 10
  17. 1/125
  18. 39000
  19. 16
  20. 19683
  21. 1/16
  22. 8
  23. 10000
  24. 65536
  25. 1/243
  26. 35
  27. 128
  28. 3125
  29. 15
  30. 180
  31. 40
  32. 1/1000
  33. 9
  34. 27
  35. 8
  36. 0.00011
  37. 1/343
  38. 7
  39. 1
  40. 58000000

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