← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 403 · 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? =
  2. 2.What is the value of 8⁻¹ (as a fraction)? =
  3. 3.What is the value of 2¹³? =
  4. 4.Write 4⁴ ÷ 4² as a single power 4ⁿ. What is n?
  5. 5.5.9 × 10³ =
  6. 6.Write 9⁴ × 9² as a single power 9ⁿ. What is n?
  7. 7.What is the value of (1/4)⁻²? =
  8. 8.Write 1.6 × 10⁻² as a decimal. =
  9. 9.What is the value of 3² × 3⁻¹? =
  10. 10.Write 5.2 × 10⁻³ as a decimal. =
  11. 11.What is the value of 8²? =
  12. 12.What is the value of 3³? =
  13. 13.What is the value of 2⁶? =
  14. 14.What is the value of 3⁶? =
  15. 15.What is the value of 3⁻⁶ (as a fraction)? =
  16. 16.What is the value of 5² × 5⁻²? =
  17. 17.Write 9.9 × 10⁻³ as a decimal. =
  18. 18.Write 6 × 10⁻² as a decimal. =
  19. 19.What is the value of 2⁹? =
  20. 20.Write 1.1 × 10⁻¹ as a decimal. =
  21. 21.What is the value of 3² × 3⁻³? =
  22. 22.Write 3,300 in standard form as 3.3 × 10ⁿ. What is n?
  23. 23.6.9 × 10³ =
  24. 24.What is the value of 6⁶? =
  25. 25.8.9 × 10³ =
  26. 26.What is the value of 10³ × 10⁻⁵? =
  27. 27.What is the value of 2⁶ × 2⁻²? =
  28. 28.Write 4,000 in standard form as 4 × 10ⁿ. What is n?
  29. 29.Write 9,100 in standard form as 9.1 × 10ⁿ. What is n?
  30. 30.What is the value of (2/9)⁻²? =
  31. 31.What is the value of 8⁵? =
  32. 32.What is the value of 5⁴ × 5⁻⁵? =
  33. 33.What is the value of 4⁶? =
  34. 34.Write 8.5 × 10⁻² as a decimal. =
  35. 35.Write 2.6 × 10⁻² as a decimal. =
  36. 36.Write 2.1 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 2¹ × 2⁻⁴? =
  38. 38.What is the value of (1/2)⁻¹? =
  39. 39.Write 6⁹ ÷ 6⁶ as a single power 6ⁿ. What is n?
  40. 40.What is the value of 2⁵? =

Answer key

  1. 81
  2. 1/8
  3. 8192
  4. 2
  5. 5900
  6. 6
  7. 16
  8. 0.016
  9. 3
  10. 0.0052
  11. 64
  12. 27
  13. 64
  14. 729
  15. 1/729
  16. 1
  17. 0.0099
  18. 0.06
  19. 512
  20. 0.11
  21. 1/3
  22. 3
  23. 6900
  24. 46656
  25. 8900
  26. 1/100
  27. 16
  28. 3
  29. 3
  30. 81/4
  31. 32768
  32. 1/5
  33. 4096
  34. 0.085
  35. 0.026
  36. 0.00021
  37. 1/8
  38. 2
  39. 3
  40. 32

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets