← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 81 · 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 (8⁴)³ as a single power 8ⁿ. What is n?
  2. 2.What is the value of 5⁻⁴ (as a fraction)? =
  3. 3.Write 4,500 in standard form as 4.5 × 10ⁿ. What is n?
  4. 4.What is the value of 5¹ × 5⁻²? =
  5. 5.What is the value of (3/5)⁻¹? =
  6. 6.What is the value of 5⁶ × 5⁻⁵? =
  7. 7.Write 7.3 × 10⁻² as a decimal. =
  8. 8.Write 6¹¹ ÷ 6⁷ as a single power 6ⁿ. What is n?
  9. 9.2.9 × 10⁶ =
  10. 10.What is the value of 3⁶ × 3⁻⁶? =
  11. 11.Write 2.2 × 10⁻⁴ as a decimal. =
  12. 12.What is the value of 2⁻⁹ (as a fraction)? =
  13. 13.Write 7,400 in standard form as 7.4 × 10ⁿ. What is n?
  14. 14.Write 4⁵ × 4⁸ as a single power 4ⁿ. What is n?
  15. 15.What is the value of 2² × 2⁻⁴? =
  16. 16.What is the value of 4²? =
  17. 17.What is the value of (5/6)⁻²? =
  18. 18.Write 7.8 × 10⁻² as a decimal. =
  19. 19.What is the value of 10⁻² (as a fraction)? =
  20. 20.Write 2.3 × 10⁻¹ as a decimal. =
  21. 21.What is the value of 3³ × 3⁻²? =
  22. 22.Write 9.7 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of 3² × 3⁻³? =
  24. 24.What is the value of 3⁴ × 3⁻⁴? =
  25. 25.What is the value of 7³? =
  26. 26.Write 33,000 in standard form as 3.3 × 10ⁿ. What is n?
  27. 27.What is the value of 3⁻⁵ (as a fraction)? =
  28. 28.Write 17,000 in standard form as 1.7 × 10ⁿ. What is n?
  29. 29.What is the value of 2¹⁰? =
  30. 30.4.7 × 10² =
  31. 31.What is the value of 4⁻³ (as a fraction)? =
  32. 32.What is the value of 10⁵ × 10⁻¹? =
  33. 33.5.4 × 10⁵ =
  34. 34.What is the value of 5⁶ × 5⁻⁶? =
  35. 35.Write (9⁹)⁷ as a single power 9ⁿ. What is n?
  36. 36.Write 8,500 in standard form as 8.5 × 10ⁿ. What is n?
  37. 37.Write 600 in standard form as 6 × 10ⁿ. What is n?
  38. 38.What is the value of 2⁷? =
  39. 39.What is the value of 5⁶ × 5⁻²? =
  40. 40.Write (3⁹)⁷ as a single power 3ⁿ. What is n?

Answer key

  1. 12
  2. 1/625
  3. 3
  4. 1/5
  5. 5/3
  6. 5
  7. 0.073
  8. 4
  9. 2900000
  10. 1
  11. 0.00022
  12. 1/512
  13. 3
  14. 13
  15. 1/4
  16. 16
  17. 36/25
  18. 0.078
  19. 1/100
  20. 0.23
  21. 3
  22. 0.00097
  23. 1/3
  24. 1
  25. 343
  26. 4
  27. 1/243
  28. 4
  29. 1024
  30. 470
  31. 1/64
  32. 10000
  33. 540000
  34. 1
  35. 63
  36. 3
  37. 2
  38. 128
  39. 625
  40. 63

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