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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 356 · 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 3⁴ × 3⁻²? =
  2. 2.What is the value of 2³ × 2⁻¹? =
  3. 3.7.9 × 10² =
  4. 4.Write 8⁸ × 8⁹ as a single power 8ⁿ. What is n?
  5. 5.9.6 × 10⁴ =
  6. 6.Write 2⁹ ÷ 2⁴ as a single power 2ⁿ. What is n?
  7. 7.What is the value of 10¹ × 10⁻¹? =
  8. 8.5 × 10² =
  9. 9.Write 3.4 × 10⁻⁴ as a decimal. =
  10. 10.What is the value of 2¹⁴? =
  11. 11.What is the value of 3¹ × 3⁻³? =
  12. 12.Write 4.6 × 10⁻¹ as a decimal. =
  13. 13.What is the value of 5³? =
  14. 14.What is the value of (4/9)⁻¹? =
  15. 15.Write (6⁴)³ as a single power 6ⁿ. What is n?
  16. 16.Write 4⁶ × 4⁷ as a single power 4ⁿ. What is n?
  17. 17.Write (5⁹)⁶ as a single power 5ⁿ. What is n?
  18. 18.What is the value of 3³? =
  19. 19.4 × 10³ =
  20. 20.Write 8,400 in standard form as 8.4 × 10ⁿ. What is n?
  21. 21.1.5 × 10² =
  22. 22.What is the value of (1/2)⁻¹? =
  23. 23.Write 7⁵ ÷ 7² as a single power 7ⁿ. What is n?
  24. 24.What is the value of 5¹ × 5⁻⁴? =
  25. 25.What is the value of 3⁵ × 3⁻⁵? =
  26. 26.What is the value of 3⁻¹ (as a fraction)? =
  27. 27.What is the value of 5⁻¹ (as a fraction)? =
  28. 28.What is the value of 6⁵? =
  29. 29.What is the value of 2¹¹? =
  30. 30.Write 3³ × 3⁸ as a single power 3ⁿ. What is n?
  31. 31.Write 32,00,000 in standard form as 3.2 × 10ⁿ. What is n?
  32. 32.Write 2¹¹ ÷ 2⁸ as a single power 2ⁿ. What is n?
  33. 33.Write 9,50,000 in standard form as 9.5 × 10ⁿ. What is n?
  34. 34.Write (8⁶)⁶ as a single power 8ⁿ. What is n?
  35. 35.What is the value of 3¹⁰? =
  36. 36.What is the value of 4⁻⁴ (as a fraction)? =
  37. 37.What is the value of 4⁻³ (as a fraction)? =
  38. 38.What is the value of 8⁻² (as a fraction)? =
  39. 39.What is the value of 2¹⁰? =
  40. 40.7.2 × 10² =

Answer key

  1. 9
  2. 4
  3. 790
  4. 17
  5. 96000
  6. 5
  7. 1
  8. 500
  9. 0.00034
  10. 16384
  11. 1/9
  12. 0.46
  13. 125
  14. 9/4
  15. 12
  16. 13
  17. 54
  18. 27
  19. 4000
  20. 3
  21. 150
  22. 2
  23. 3
  24. 1/125
  25. 1
  26. 1/3
  27. 1/5
  28. 7776
  29. 2048
  30. 11
  31. 6
  32. 3
  33. 5
  34. 36
  35. 59049
  36. 1/256
  37. 1/64
  38. 1/64
  39. 1024
  40. 720

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