← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 725 · 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.Write 8.8 × 10⁻⁴ as a decimal. =
  2. 2.Write 2.8 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of (2/3)⁻¹? =
  4. 4.Write 2⁷ × 2² as a single power 2ⁿ. What is n?
  5. 5.What is the value of 2⁴? =
  6. 6.What is the value of 4⁻⁴ (as a fraction)? =
  7. 7.Write 3.5 × 10⁻² as a decimal. =
  8. 8.2.5 × 10⁵ =
  9. 9.What is the value of 3⁴ × 3⁻⁵? =
  10. 10.What is the value of 2¹⁶? =
  11. 11.What is the value of 8⁻³ (as a fraction)? =
  12. 12.Write 3² × 3³ as a single power 3ⁿ. What is n?
  13. 13.What is the value of 3⁶ × 3⁻³? =
  14. 14.Write (6⁹)³ as a single power 6ⁿ. What is n?
  15. 15.What is the value of 6⁵? =
  16. 16.Write 9⁷ ÷ 9⁵ as a single power 9ⁿ. What is n?
  17. 17.What is the value of 2² × 2⁻⁶? =
  18. 18.Write 2.9 × 10⁻² as a decimal. =
  19. 19.What is the value of 10² × 10⁻²? =
  20. 20.Write 2.8 × 10⁻³ as a decimal. =
  21. 21.Write 1.7 × 10⁻⁴ as a decimal. =
  22. 22.What is the value of 2⁻⁹ (as a fraction)? =
  23. 23.Write 2.6 × 10⁻² as a decimal. =
  24. 24.Write 2.7 × 10⁻⁴ as a decimal. =
  25. 25.Write 4.3 × 10⁻⁴ as a decimal. =
  26. 26.Write 8³ × 8⁵ as a single power 8ⁿ. What is n?
  27. 27.Write 8.5 × 10⁻⁴ as a decimal. =
  28. 28.What is the value of 3⁶? =
  29. 29.What is the value of 2⁷? =
  30. 30.What is the value of 5⁻² (as a fraction)? =
  31. 31.Write 4⁴ × 4³ as a single power 4ⁿ. What is n?
  32. 32.What is the value of 5⁶ × 5⁻²? =
  33. 33.What is the value of 10⁻³ (as a fraction)? =
  34. 34.What is the value of 7³? =
  35. 35.Write 7⁵ × 7³ as a single power 7ⁿ. What is n?
  36. 36.Write 7.3 × 10⁻³ as a decimal. =
  37. 37.Write 9⁷ × 9² as a single power 9ⁿ. What is n?
  38. 38.Write 7¹¹ ÷ 7² as a single power 7ⁿ. What is n?
  39. 39.What is the value of 2⁸? =
  40. 40.Write 1.9 × 10⁻³ as a decimal. =

Answer key

  1. 0.00088
  2. 0.00028
  3. 3/2
  4. 9
  5. 16
  6. 1/256
  7. 0.035
  8. 250000
  9. 1/3
  10. 65536
  11. 1/512
  12. 5
  13. 27
  14. 27
  15. 7776
  16. 2
  17. 1/16
  18. 0.029
  19. 1
  20. 0.0028
  21. 0.00017
  22. 1/512
  23. 0.026
  24. 0.00027
  25. 0.00043
  26. 8
  27. 0.00085
  28. 729
  29. 128
  30. 1/25
  31. 7
  32. 625
  33. 1/1000
  34. 343
  35. 8
  36. 0.0073
  37. 9
  38. 9
  39. 256
  40. 0.0019

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