← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 749 · 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 3⁶? =
  2. 2.What is the value of (1/9)⁻¹? =
  3. 3.What is the value of 3⁹? =
  4. 4.What is the value of 2¹³? =
  5. 5.Write 8.8 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 3² × 3⁻⁵? =
  7. 7.Write 810 in standard form as 8.1 × 10ⁿ. What is n?
  8. 8.5.8 × 10⁵ =
  9. 9.What is the value of 2⁶? =
  10. 10.Write 2.1 × 10⁻⁴ as a decimal. =
  11. 11.What is the value of 2³? =
  12. 12.What is the value of 2⁻² (as a fraction)? =
  13. 13.Write 5¹⁴ ÷ 5⁶ as a single power 5ⁿ. What is n?
  14. 14.Write 7.9 × 10⁻² as a decimal. =
  15. 15.What is the value of 10⁻³ (as a fraction)? =
  16. 16.What is the value of 3² × 3⁻⁶? =
  17. 17.What is the value of 3⁷? =
  18. 18.Write 3⁴ × 3⁷ as a single power 3ⁿ. What is n?
  19. 19.Write 1.7 × 10⁻³ as a decimal. =
  20. 20.What is the value of 2²? =
  21. 21.Write 8⁶ × 8⁴ as a single power 8ⁿ. What is n?
  22. 22.Write (7²)² as a single power 7ⁿ. What is n?
  23. 23.What is the value of 3¹ × 3⁻²? =
  24. 24.Write 4⁹ × 4⁴ as a single power 4ⁿ. What is n?
  25. 25.What is the value of 5⁻³ (as a fraction)? =
  26. 26.3.9 × 10³ =
  27. 27.2.8 × 10³ =
  28. 28.What is the value of 2² × 2⁻¹? =
  29. 29.Write 2.8 × 10⁻³ as a decimal. =
  30. 30.What is the value of 3⁻⁴ (as a fraction)? =
  31. 31.What is the value of 10²? =
  32. 32.What is the value of 2¹ × 2⁻⁵? =
  33. 33.What is the value of 5⁻² (as a fraction)? =
  34. 34.What is the value of 9⁵? =
  35. 35.Write 8.5 × 10⁻³ as a decimal. =
  36. 36.Write 2.7 × 10⁻² as a decimal. =
  37. 37.Write 4.4 × 10⁻¹ as a decimal. =
  38. 38.Write 90,000 in standard form as 9 × 10ⁿ. What is n?
  39. 39.What is the value of (3/8)⁻²? =
  40. 40.What is the value of 8⁻¹ (as a fraction)? =

Answer key

  1. 729
  2. 9
  3. 19683
  4. 8192
  5. 0.88
  6. 1/27
  7. 2
  8. 580000
  9. 64
  10. 0.00021
  11. 8
  12. 1/4
  13. 8
  14. 0.079
  15. 1/1000
  16. 1/81
  17. 2187
  18. 11
  19. 0.0017
  20. 4
  21. 10
  22. 4
  23. 1/3
  24. 13
  25. 1/125
  26. 3900
  27. 2800
  28. 2
  29. 0.0028
  30. 1/81
  31. 100
  32. 1/16
  33. 1/25
  34. 59049
  35. 0.0085
  36. 0.027
  37. 0.44
  38. 4
  39. 64/9
  40. 1/8

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