← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 300 · 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 7⁴? =
  2. 2.What is the value of 5² × 5⁻⁶? =
  3. 3.Write 6,10,000 in standard form as 6.1 × 10ⁿ. What is n?
  4. 4.What is the value of 3⁻⁵ (as a fraction)? =
  5. 5.What is the value of (1/7)⁻²? =
  6. 6.Write 5⁶ ÷ 5⁴ as a single power 5ⁿ. What is n?
  7. 7.What is the value of 2¹²? =
  8. 8.Write 2⁴ ÷ 2² as a single power 2ⁿ. What is n?
  9. 9.What is the value of 5⁴? =
  10. 10.What is the value of 10³? =
  11. 11.What is the value of 5³? =
  12. 12.What is the value of 4⁻² (as a fraction)? =
  13. 13.Write 6,70,000 in standard form as 6.7 × 10ⁿ. What is n?
  14. 14.Write 6⁹ × 6⁶ as a single power 6ⁿ. What is n?
  15. 15.What is the value of 2⁻⁷ (as a fraction)? =
  16. 16.7.6 × 10⁶ =
  17. 17.What is the value of 8⁴? =
  18. 18.Write 2¹⁰ ÷ 2³ as a single power 2ⁿ. What is n?
  19. 19.What is the value of 5² × 5⁻¹? =
  20. 20.Write 9¹² ÷ 9⁵ as a single power 9ⁿ. What is n?
  21. 21.Write (4⁴)⁵ as a single power 4ⁿ. What is n?
  22. 22.Write (5⁴)³ as a single power 5ⁿ. What is n?
  23. 23.Write 2⁷ × 2⁸ as a single power 2ⁿ. What is n?
  24. 24.What is the value of 2²? =
  25. 25.What is the value of 3³ × 3⁻³? =
  26. 26.Write 9.5 × 10⁻⁴ as a decimal. =
  27. 27.4.2 × 10⁶ =
  28. 28.What is the value of 2⁴ × 2⁻³? =
  29. 29.What is the value of 10²? =
  30. 30.What is the value of 2⁻⁹ (as a fraction)? =
  31. 31.What is the value of 3³? =
  32. 32.Write 7⁸ × 7⁵ as a single power 7ⁿ. What is n?
  33. 33.Write 7.4 × 10⁻³ as a decimal. =
  34. 34.What is the value of (3/4)⁻²? =
  35. 35.What is the value of 10⁶ × 10⁻²? =
  36. 36.Write 9⁵ × 9³ as a single power 9ⁿ. What is n?
  37. 37.2.3 × 10⁴ =
  38. 38.8.1 × 10⁵ =
  39. 39.Write (3³)⁵ as a single power 3ⁿ. What is n?
  40. 40.Write 5.9 × 10⁻³ as a decimal. =

Answer key

  1. 2401
  2. 1/625
  3. 5
  4. 1/243
  5. 49
  6. 2
  7. 4096
  8. 2
  9. 625
  10. 1000
  11. 125
  12. 1/16
  13. 5
  14. 15
  15. 1/128
  16. 7600000
  17. 4096
  18. 7
  19. 5
  20. 7
  21. 20
  22. 12
  23. 15
  24. 4
  25. 1
  26. 0.00095
  27. 4200000
  28. 2
  29. 100
  30. 1/512
  31. 27
  32. 13
  33. 0.0074
  34. 16/9
  35. 10000
  36. 8
  37. 23000
  38. 810000
  39. 15
  40. 0.0059

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