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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 340 · 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 3¹ × 3⁻⁴? =
  2. 2.What is the value of 8²? =
  3. 3.Write 6⁸ × 6⁴ as a single power 6ⁿ. What is n?
  4. 4.What is the value of 10⁴ × 10⁻¹? =
  5. 5.What is the value of 5² × 5⁻³? =
  6. 6.What is the value of 5¹ × 5⁻⁶? =
  7. 7.Write (7⁵)⁶ as a single power 7ⁿ. What is n?
  8. 8.Write 6¹³ ÷ 6⁹ as a single power 6ⁿ. What is n?
  9. 9.4.1 × 10³ =
  10. 10.What is the value of 6⁻³ (as a fraction)? =
  11. 11.9.8 × 10⁵ =
  12. 12.What is the value of 2¹ × 2⁻³? =
  13. 13.Write (3⁶)⁶ as a single power 3ⁿ. What is n?
  14. 14.Write (5⁶)⁸ as a single power 5ⁿ. What is n?
  15. 15.What is the value of 3⁵? =
  16. 16.3 × 10⁴ =
  17. 17.Write (9⁶)⁴ as a single power 9ⁿ. What is n?
  18. 18.What is the value of 2³ × 2⁻¹? =
  19. 19.Write 800 in standard form as 8 × 10ⁿ. What is n?
  20. 20.What is the value of 9³? =
  21. 21.What is the value of 10⁵? =
  22. 22.Write 7⁹ ÷ 7³ as a single power 7ⁿ. What is n?
  23. 23.What is the value of 10⁻³ (as a fraction)? =
  24. 24.What is the value of 2⁻⁴ (as a fraction)? =
  25. 25.9.9 × 10³ =
  26. 26.What is the value of 3⁻² (as a fraction)? =
  27. 27.What is the value of 2⁻⁵ (as a fraction)? =
  28. 28.What is the value of 5² × 5⁻⁴? =
  29. 29.What is the value of 4²? =
  30. 30.7.5 × 10² =
  31. 31.Write 1.1 × 10⁻¹ as a decimal. =
  32. 32.Write 7.4 × 10⁻² as a decimal. =
  33. 33.What is the value of 10²? =
  34. 34.What is the value of 4⁸? =
  35. 35.What is the value of 3² × 3⁻⁶? =
  36. 36.What is the value of 3⁶ × 3⁻¹? =
  37. 37.What is the value of 7⁻¹ (as a fraction)? =
  38. 38.What is the value of 6²? =
  39. 39.What is the value of 3² × 3⁻⁵? =
  40. 40.What is the value of 3³ × 3⁻⁴? =

Answer key

  1. 1/27
  2. 64
  3. 12
  4. 1000
  5. 1/5
  6. 1/3125
  7. 30
  8. 4
  9. 4100
  10. 1/216
  11. 980000
  12. 1/4
  13. 36
  14. 48
  15. 243
  16. 30000
  17. 24
  18. 4
  19. 2
  20. 729
  21. 100000
  22. 6
  23. 1/1000
  24. 1/16
  25. 9900
  26. 1/9
  27. 1/32
  28. 1/25
  29. 16
  30. 750
  31. 0.11
  32. 0.074
  33. 100
  34. 65536
  35. 1/81
  36. 243
  37. 1/7
  38. 36
  39. 1/27
  40. 1/3

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