← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 539 · 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 10⁴? =
  2. 2.Write 7³ × 7⁷ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 4⁻⁴ (as a fraction)? =
  4. 4.What is the value of 2⁻⁵ (as a fraction)? =
  5. 5.6.6 × 10² =
  6. 6.What is the value of 2⁴ × 2⁻¹? =
  7. 7.Write (5²)⁸ as a single power 5ⁿ. What is n?
  8. 8.What is the value of 3² × 3⁻⁵? =
  9. 9.6.4 × 10⁶ =
  10. 10.Write (8⁹)⁷ as a single power 8ⁿ. What is n?
  11. 11.What is the value of 4⁸? =
  12. 12.What is the value of 4²? =
  13. 13.What is the value of 2⁴? =
  14. 14.Write 7⁸ × 7⁴ as a single power 7ⁿ. What is n?
  15. 15.What is the value of 5⁶ × 5⁻²? =
  16. 16.Write 3.2 × 10⁻² as a decimal. =
  17. 17.Write (9²)⁷ as a single power 9ⁿ. What is n?
  18. 18.What is the value of 3⁵ × 3⁻⁴? =
  19. 19.Write 8.1 × 10⁻¹ as a decimal. =
  20. 20.5.2 × 10⁵ =
  21. 21.What is the value of 2⁹? =
  22. 22.Write 7.3 × 10⁻³ as a decimal. =
  23. 23.Write 6⁴ × 6⁸ as a single power 6ⁿ. What is n?
  24. 24.What is the value of 5⁴? =
  25. 25.What is the value of 3⁴ × 3⁻²? =
  26. 26.4.3 × 10³ =
  27. 27.Write 4.4 × 10⁻² as a decimal. =
  28. 28.4.1 × 10⁴ =
  29. 29.What is the value of 3¹ × 3⁻²? =
  30. 30.What is the value of 3⁹? =
  31. 31.What is the value of 2¹ × 2⁻¹? =
  32. 32.What is the value of 9⁻³ (as a fraction)? =
  33. 33.Write (3⁹)⁴ as a single power 3ⁿ. What is n?
  34. 34.Write 3.5 × 10⁻¹ as a decimal. =
  35. 35.What is the value of 2¹¹? =
  36. 36.Write 2⁵ × 2⁵ as a single power 2ⁿ. What is n?
  37. 37.What is the value of 2⁻¹ (as a fraction)? =
  38. 38.What is the value of 10⁵ × 10⁻⁶? =
  39. 39.Write 7⁹ × 7⁷ as a single power 7ⁿ. What is n?
  40. 40.What is the value of 2⁴ × 2⁻²? =

Answer key

  1. 10000
  2. 10
  3. 1/256
  4. 1/32
  5. 660
  6. 8
  7. 16
  8. 1/27
  9. 6400000
  10. 63
  11. 65536
  12. 16
  13. 16
  14. 12
  15. 625
  16. 0.032
  17. 14
  18. 3
  19. 0.81
  20. 520000
  21. 512
  22. 0.0073
  23. 12
  24. 625
  25. 9
  26. 4300
  27. 0.044
  28. 41000
  29. 1/3
  30. 19683
  31. 1
  32. 1/729
  33. 36
  34. 0.35
  35. 2048
  36. 10
  37. 1/2
  38. 1/10
  39. 16
  40. 4

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