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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 762 · 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 2⁻⁷ (as a fraction)? =
  2. 2.What is the value of 5⁵ × 5⁻⁵? =
  3. 3.What is the value of 2⁸? =
  4. 4.8 × 10³ =
  5. 5.What is the value of 2¹¹? =
  6. 6.Write 3⁷ ÷ 3⁴ as a single power 3ⁿ. What is n?
  7. 7.What is the value of 3⁵ × 3⁻¹? =
  8. 8.Write 7.4 × 10⁻⁴ as a decimal. =
  9. 9.What is the value of 10⁵? =
  10. 10.What is the value of 3⁶? =
  11. 11.Write 7.1 × 10⁻⁴ as a decimal. =
  12. 12.Write 5¹² ÷ 5⁵ as a single power 5ⁿ. What is n?
  13. 13.What is the value of 10⁴? =
  14. 14.Write 3.4 × 10⁻⁴ as a decimal. =
  15. 15.Write 65,00,000 in standard form as 6.5 × 10ⁿ. What is n?
  16. 16.9.1 × 10⁴ =
  17. 17.Write 2.8 × 10⁻⁴ as a decimal. =
  18. 18.What is the value of (5/6)⁻¹? =
  19. 19.What is the value of 3⁻² (as a fraction)? =
  20. 20.What is the value of 2⁴ × 2⁻³? =
  21. 21.What is the value of 2¹²? =
  22. 22.What is the value of 5⁻² (as a fraction)? =
  23. 23.What is the value of 8⁴? =
  24. 24.2.1 × 10⁷ =
  25. 25.What is the value of 3² × 3⁻⁵? =
  26. 26.Write 7⁸ × 7⁵ as a single power 7ⁿ. What is n?
  27. 27.Write 4⁴ × 4⁸ as a single power 4ⁿ. What is n?
  28. 28.What is the value of 3⁶ × 3⁻¹? =
  29. 29.Write 3,100 in standard form as 3.1 × 10ⁿ. What is n?
  30. 30.Write (3⁷)⁵ as a single power 3ⁿ. What is n?
  31. 31.What is the value of 2³? =
  32. 32.Write 8¹⁵ ÷ 8⁶ as a single power 8ⁿ. What is n?
  33. 33.What is the value of 2² × 2⁻⁴? =
  34. 34.What is the value of 10³ × 10⁻¹? =
  35. 35.What is the value of 2⁵? =
  36. 36.What is the value of (1/5)⁻²? =
  37. 37.What is the value of (1/3)⁻²? =
  38. 38.What is the value of 3⁷? =
  39. 39.Write 2.3 × 10⁻¹ as a decimal. =
  40. 40.Write 8.8 × 10⁻² as a decimal. =

Answer key

  1. 1/128
  2. 1
  3. 256
  4. 8000
  5. 2048
  6. 3
  7. 81
  8. 0.00074
  9. 100000
  10. 729
  11. 0.00071
  12. 7
  13. 10000
  14. 0.00034
  15. 6
  16. 91000
  17. 0.00028
  18. 6/5
  19. 1/9
  20. 2
  21. 4096
  22. 1/25
  23. 4096
  24. 21000000
  25. 1/27
  26. 13
  27. 12
  28. 243
  29. 3
  30. 35
  31. 8
  32. 9
  33. 1/4
  34. 100
  35. 32
  36. 25
  37. 9
  38. 2187
  39. 0.23
  40. 0.088

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