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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 231 · 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 2³? =
  2. 2.Write 6.1 × 10⁻¹ as a decimal. =
  3. 3.Write 2,00,00,000 in standard form as 2 × 10ⁿ. What is n?
  4. 4.1.6 × 10⁴ =
  5. 5.Write 890 in standard form as 8.9 × 10ⁿ. What is n?
  6. 6.What is the value of 3⁶? =
  7. 7.Write 8,000 in standard form as 8 × 10ⁿ. What is n?
  8. 8.What is the value of 2⁴? =
  9. 9.Write 6¹³ ÷ 6⁵ as a single power 6ⁿ. What is n?
  10. 10.Write 2⁶ ÷ 2³ as a single power 2ⁿ. What is n?
  11. 11.What is the value of 4⁷? =
  12. 12.Write 7.8 × 10⁻⁴ as a decimal. =
  13. 13.Write 31,000 in standard form as 3.1 × 10ⁿ. What is n?
  14. 14.What is the value of 3⁵? =
  15. 15.What is the value of 5⁴ × 5⁻²? =
  16. 16.Write 470 in standard form as 4.7 × 10ⁿ. What is n?
  17. 17.What is the value of (2/5)⁻²? =
  18. 18.Write 9 × 10⁻³ as a decimal. =
  19. 19.What is the value of 5¹ × 5⁻⁴? =
  20. 20.What is the value of (1/3)⁻²? =
  21. 21.What is the value of 3¹ × 3⁻²? =
  22. 22.Write 1.8 × 10⁻³ as a decimal. =
  23. 23.What is the value of 2⁴ × 2⁻³? =
  24. 24.Write 5.5 × 10⁻¹ as a decimal. =
  25. 25.What is the value of 10⁵? =
  26. 26.What is the value of 3⁻⁵ (as a fraction)? =
  27. 27.What is the value of 8⁻³ (as a fraction)? =
  28. 28.What is the value of 2¹⁴? =
  29. 29.What is the value of 10⁴ × 10⁻²? =
  30. 30.Write 9.2 × 10⁻² as a decimal. =
  31. 31.What is the value of 2⁻² (as a fraction)? =
  32. 32.What is the value of 5⁴? =
  33. 33.What is the value of 2³ × 2⁻⁴? =
  34. 34.What is the value of 5⁵ × 5⁻⁶? =
  35. 35.Write 2.3 × 10⁻³ as a decimal. =
  36. 36.Write 2.9 × 10⁻³ as a decimal. =
  37. 37.What is the value of (4/7)⁻²? =
  38. 38.What is the value of 5² × 5⁻¹? =
  39. 39.What is the value of 7⁴? =
  40. 40.What is the value of 4⁶? =

Answer key

  1. 8
  2. 0.61
  3. 7
  4. 16000
  5. 2
  6. 729
  7. 3
  8. 16
  9. 8
  10. 3
  11. 16384
  12. 0.00078
  13. 4
  14. 243
  15. 25
  16. 2
  17. 25/4
  18. 0.009
  19. 1/125
  20. 9
  21. 1/3
  22. 0.0018
  23. 2
  24. 0.55
  25. 100000
  26. 1/243
  27. 1/512
  28. 16384
  29. 100
  30. 0.092
  31. 1/4
  32. 625
  33. 1/2
  34. 1/5
  35. 0.0023
  36. 0.0029
  37. 49/16
  38. 5
  39. 2401
  40. 4096

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