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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 252 · 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 (7⁸)⁶ as a single power 7ⁿ. What is n?
  2. 2.What is the value of 7⁻² (as a fraction)? =
  3. 3.1.2 × 10⁵ =
  4. 4.What is the value of (2/5)⁻¹? =
  5. 5.What is the value of 2² × 2⁻⁶? =
  6. 6.What is the value of 2⁵ × 2⁻³? =
  7. 7.Write 3⁴ × 3⁶ as a single power 3ⁿ. What is n?
  8. 8.7.1 × 10² =
  9. 9.4.7 × 10³ =
  10. 10.Write 1.9 × 10⁻² as a decimal. =
  11. 11.Write 9² × 9³ as a single power 9ⁿ. What is n?
  12. 12.Write 2⁵ × 2⁴ as a single power 2ⁿ. What is n?
  13. 13.What is the value of 3⁵? =
  14. 14.What is the value of 7²? =
  15. 15.What is the value of 3⁵ × 3⁻⁴? =
  16. 16.8.7 × 10² =
  17. 17.What is the value of 3¹ × 3⁻²? =
  18. 18.Write 3⁶ ÷ 3² as a single power 3ⁿ. What is n?
  19. 19.Write (8²)⁵ as a single power 8ⁿ. What is n?
  20. 20.What is the value of 3⁶? =
  21. 21.What is the value of 9⁴? =
  22. 22.What is the value of 7⁴? =
  23. 23.What is the value of 7⁻³ (as a fraction)? =
  24. 24.What is the value of (3/4)⁻²? =
  25. 25.Write 4¹³ ÷ 4⁵ as a single power 4ⁿ. What is n?
  26. 26.What is the value of 6⁻¹ (as a fraction)? =
  27. 27.Write 56,000 in standard form as 5.6 × 10ⁿ. What is n?
  28. 28.Write 3.1 × 10⁻¹ as a decimal. =
  29. 29.What is the value of 2³ × 2⁻⁵? =
  30. 30.What is the value of 5⁴ × 5⁻¹? =
  31. 31.What is the value of 2⁴? =
  32. 32.Write (8²)³ as a single power 8ⁿ. What is n?
  33. 33.What is the value of 5⁶ × 5⁻³? =
  34. 34.What is the value of 2⁹? =
  35. 35.Write (8⁴)² as a single power 8ⁿ. What is n?
  36. 36.Write 69,00,000 in standard form as 6.9 × 10ⁿ. What is n?
  37. 37.What is the value of 4⁷? =
  38. 38.What is the value of 2³? =
  39. 39.What is the value of 4⁸? =
  40. 40.Write (3³)⁶ as a single power 3ⁿ. What is n?

Answer key

  1. 48
  2. 1/49
  3. 120000
  4. 5/2
  5. 1/16
  6. 4
  7. 10
  8. 710
  9. 4700
  10. 0.019
  11. 5
  12. 9
  13. 243
  14. 49
  15. 3
  16. 870
  17. 1/3
  18. 4
  19. 10
  20. 729
  21. 6561
  22. 2401
  23. 1/343
  24. 16/9
  25. 8
  26. 1/6
  27. 4
  28. 0.31
  29. 1/4
  30. 125
  31. 16
  32. 6
  33. 125
  34. 512
  35. 8
  36. 6
  37. 16384
  38. 8
  39. 65536
  40. 18

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