← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 568 · 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 6.4 × 10⁻³ as a decimal. =
  2. 2.What is the value of 4⁴? =
  3. 3.What is the value of 9⁻¹ (as a fraction)? =
  4. 4.Write 6⁸ × 6⁴ as a single power 6ⁿ. What is n?
  5. 5.What is the value of 2⁵ × 2⁻³? =
  6. 6.What is the value of 3² × 3⁻³? =
  7. 7.What is the value of 3⁵ × 3⁻⁶? =
  8. 8.Write (9⁴)⁵ as a single power 9ⁿ. What is n?
  9. 9.Write 3¹² ÷ 3⁷ as a single power 3ⁿ. What is n?
  10. 10.Write 2⁷ ÷ 2² as a single power 2ⁿ. What is n?
  11. 11.Write 5⁵ ÷ 5³ as a single power 5ⁿ. What is n?
  12. 12.Write 3⁶ × 3⁷ as a single power 3ⁿ. What is n?
  13. 13.What is the value of 2⁴? =
  14. 14.What is the value of 2⁵ × 2⁻⁶? =
  15. 15.What is the value of 7⁻¹ (as a fraction)? =
  16. 16.Write (8⁶)⁸ as a single power 8ⁿ. What is n?
  17. 17.What is the value of 5⁴ × 5⁻⁴? =
  18. 18.What is the value of 5⁻⁴ (as a fraction)? =
  19. 19.What is the value of (5/7)⁻¹? =
  20. 20.Write 5⁶ × 5⁸ as a single power 5ⁿ. What is n?
  21. 21.What is the value of 3¹ × 3⁻⁵? =
  22. 22.Write 1.9 × 10⁻² as a decimal. =
  23. 23.What is the value of 2⁴ × 2⁻¹? =
  24. 24.What is the value of 5⁵ × 5⁻⁴? =
  25. 25.Write 2.8 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of 3⁻¹ (as a fraction)? =
  27. 27.4 × 10⁶ =
  28. 28.3.3 × 10⁶ =
  29. 29.What is the value of (1/6)⁻²? =
  30. 30.What is the value of 5⁷? =
  31. 31.Write 6¹² ÷ 6⁷ as a single power 6ⁿ. What is n?
  32. 32.What is the value of (1/4)⁻¹? =
  33. 33.Write 4¹³ ÷ 4⁹ as a single power 4ⁿ. What is n?
  34. 34.What is the value of 10⁴ × 10⁻⁶? =
  35. 35.What is the value of 2²? =
  36. 36.What is the value of (2/7)⁻²? =
  37. 37.What is the value of 8⁻² (as a fraction)? =
  38. 38.Write 5.4 × 10⁻² as a decimal. =
  39. 39.What is the value of 3⁻⁵ (as a fraction)? =
  40. 40.What is the value of 2⁻⁴ (as a fraction)? =

Answer key

  1. 0.0064
  2. 256
  3. 1/9
  4. 12
  5. 4
  6. 1/3
  7. 1/3
  8. 20
  9. 5
  10. 5
  11. 2
  12. 13
  13. 16
  14. 1/2
  15. 1/7
  16. 48
  17. 1
  18. 1/625
  19. 7/5
  20. 14
  21. 1/81
  22. 0.019
  23. 8
  24. 5
  25. 0.00028
  26. 1/3
  27. 4000000
  28. 3300000
  29. 36
  30. 78125
  31. 5
  32. 4
  33. 4
  34. 1/100
  35. 4
  36. 49/4
  37. 1/64
  38. 0.054
  39. 1/243
  40. 1/16

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