← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 188 · 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 6¹⁰ ÷ 6⁴ as a single power 6ⁿ. What is n?
  2. 2.Write 8¹⁰ ÷ 8⁸ as a single power 8ⁿ. What is n?
  3. 3.Write 9.2 × 10⁻² as a decimal. =
  4. 4.Write 4² × 4² as a single power 4ⁿ. What is n?
  5. 5.What is the value of 5³? =
  6. 6.What is the value of (1/6)⁻²? =
  7. 7.What is the value of 9⁵? =
  8. 8.What is the value of 6³? =
  9. 9.What is the value of 8⁴? =
  10. 10.Write (4⁶)⁸ as a single power 4ⁿ. What is n?
  11. 11.8.7 × 10⁶ =
  12. 12.Write 4⁵ × 4⁶ as a single power 4ⁿ. What is n?
  13. 13.What is the value of 6⁻² (as a fraction)? =
  14. 14.What is the value of 3¹⁰? =
  15. 15.What is the value of 5⁴ × 5⁻¹? =
  16. 16.Write 6³ × 6⁸ as a single power 6ⁿ. What is n?
  17. 17.Write 8¹⁴ ÷ 8⁷ as a single power 8ⁿ. What is n?
  18. 18.Write 330 in standard form as 3.3 × 10ⁿ. What is n?
  19. 19.What is the value of (1/4)⁻²? =
  20. 20.What is the value of 3¹ × 3⁻¹? =
  21. 21.7.6 × 10⁶ =
  22. 22.Write 2,100 in standard form as 2.1 × 10ⁿ. What is n?
  23. 23.What is the value of 3⁴ × 3⁻⁶? =
  24. 24.What is the value of 2⁹? =
  25. 25.What is the value of 5² × 5⁻⁶? =
  26. 26.Write 1.3 × 10⁻¹ as a decimal. =
  27. 27.Write 9¹¹ ÷ 9⁴ as a single power 9ⁿ. What is n?
  28. 28.6.6 × 10⁷ =
  29. 29.3.8 × 10⁵ =
  30. 30.What is the value of 5⁻³ (as a fraction)? =
  31. 31.What is the value of 2⁻⁸ (as a fraction)? =
  32. 32.What is the value of 10³? =
  33. 33.Write 2,900 in standard form as 2.9 × 10ⁿ. What is n?
  34. 34.Write 2.9 × 10⁻³ as a decimal. =
  35. 35.Write 3⁶ ÷ 3³ as a single power 3ⁿ. What is n?
  36. 36.What is the value of 3⁻⁵ (as a fraction)? =
  37. 37.Write (6⁵)⁸ as a single power 6ⁿ. What is n?
  38. 38.Write 9,70,00,000 in standard form as 9.7 × 10ⁿ. What is n?
  39. 39.8.5 × 10² =
  40. 40.What is the value of 7³? =

Answer key

  1. 6
  2. 2
  3. 0.092
  4. 4
  5. 125
  6. 36
  7. 59049
  8. 216
  9. 4096
  10. 48
  11. 8700000
  12. 11
  13. 1/36
  14. 59049
  15. 125
  16. 11
  17. 7
  18. 2
  19. 16
  20. 1
  21. 7600000
  22. 3
  23. 1/9
  24. 512
  25. 1/625
  26. 0.13
  27. 7
  28. 66000000
  29. 380000
  30. 1/125
  31. 1/256
  32. 1000
  33. 3
  34. 0.0029
  35. 3
  36. 1/243
  37. 40
  38. 7
  39. 850
  40. 343

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