← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 195 · 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 4⁷ ÷ 4⁴ as a single power 4ⁿ. What is n?
  2. 2.What is the value of 2⁴ × 2⁻⁵? =
  3. 3.What is the value of 3⁴ × 3⁻²? =
  4. 4.What is the value of 5⁵ × 5⁻¹? =
  5. 5.Write 4³ × 4⁹ as a single power 4ⁿ. What is n?
  6. 6.Write 3,300 in standard form as 3.3 × 10ⁿ. What is n?
  7. 7.Write 6.6 × 10⁻² as a decimal. =
  8. 8.What is the value of (7/8)⁻¹? =
  9. 9.What is the value of 2⁵? =
  10. 10.Write 3⁵ × 3⁸ as a single power 3ⁿ. What is n?
  11. 11.Write (3⁷)⁶ as a single power 3ⁿ. What is n?
  12. 12.What is the value of 4⁶? =
  13. 13.What is the value of 2¹⁴? =
  14. 14.Write (4⁸)² as a single power 4ⁿ. What is n?
  15. 15.What is the value of 5⁵ × 5⁻²? =
  16. 16.What is the value of 5⁴? =
  17. 17.Write 4.1 × 10⁻² as a decimal. =
  18. 18.Write 4² × 4⁹ as a single power 4ⁿ. What is n?
  19. 19.Write 4⁹ × 4⁴ as a single power 4ⁿ. What is n?
  20. 20.Write 9² × 9⁹ as a single power 9ⁿ. What is n?
  21. 21.Write 2.6 × 10⁻² as a decimal. =
  22. 22.What is the value of 2² × 2⁻⁴? =
  23. 23.Write (6⁴)⁵ as a single power 6ⁿ. What is n?
  24. 24.What is the value of 2²? =
  25. 25.1.3 × 10² =
  26. 26.Write 2.3 × 10⁻¹ as a decimal. =
  27. 27.What is the value of 8⁴? =
  28. 28.Write 6¹⁰ ÷ 6² as a single power 6ⁿ. What is n?
  29. 29.What is the value of 2¹ × 2⁻⁵? =
  30. 30.What is the value of 3⁻³ (as a fraction)? =
  31. 31.What is the value of 10⁶ × 10⁻⁴? =
  32. 32.Write (5⁸)⁷ as a single power 5ⁿ. What is n?
  33. 33.What is the value of 9⁻¹ (as a fraction)? =
  34. 34.Write 5.3 × 10⁻³ as a decimal. =
  35. 35.What is the value of 2⁻⁹ (as a fraction)? =
  36. 36.Write 8.4 × 10⁻⁴ as a decimal. =
  37. 37.Write 3⁵ × 3² as a single power 3ⁿ. What is n?
  38. 38.What is the value of 3¹ × 3⁻⁴? =
  39. 39.What is the value of 2⁴? =
  40. 40.Write 5⁹ × 5⁸ as a single power 5ⁿ. What is n?

Answer key

  1. 3
  2. 1/2
  3. 9
  4. 625
  5. 12
  6. 3
  7. 0.066
  8. 8/7
  9. 32
  10. 13
  11. 42
  12. 4096
  13. 16384
  14. 16
  15. 125
  16. 625
  17. 0.041
  18. 11
  19. 13
  20. 11
  21. 0.026
  22. 1/4
  23. 20
  24. 4
  25. 130
  26. 0.23
  27. 4096
  28. 8
  29. 1/16
  30. 1/27
  31. 100
  32. 56
  33. 1/9
  34. 0.0053
  35. 1/512
  36. 0.00084
  37. 7
  38. 1/27
  39. 16
  40. 17

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