← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 637 · 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 2² × 2⁻³? =
  2. 2.What is the value of 3⁻⁵ (as a fraction)? =
  3. 3.What is the value of (5/7)⁻²? =
  4. 4.What is the value of 2⁶? =
  5. 5.Write 6⁵ × 6⁸ as a single power 6ⁿ. What is n?
  6. 6.Write 3⁴ × 3⁸ as a single power 3ⁿ. What is n?
  7. 7.4.6 × 10³ =
  8. 8.What is the value of 4⁵? =
  9. 9.Write (5⁷)³ as a single power 5ⁿ. What is n?
  10. 10.What is the value of 6⁶? =
  11. 11.What is the value of 5⁴ × 5⁻¹? =
  12. 12.4.4 × 10⁶ =
  13. 13.1.8 × 10² =
  14. 14.What is the value of 2⁸? =
  15. 15.What is the value of 5⁵ × 5⁻⁶? =
  16. 16.Write (9⁹)⁵ as a single power 9ⁿ. What is n?
  17. 17.6.9 × 10⁵ =
  18. 18.4.7 × 10⁵ =
  19. 19.What is the value of (1/2)⁻¹? =
  20. 20.What is the value of (2/7)⁻¹? =
  21. 21.Write 6,600 in standard form as 6.6 × 10ⁿ. What is n?
  22. 22.Write 5.3 × 10⁻³ as a decimal. =
  23. 23.Write 8¹² ÷ 8⁴ as a single power 8ⁿ. What is n?
  24. 24.Write 9.5 × 10⁻¹ as a decimal. =
  25. 25.Write 8.2 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 2⁻⁴ (as a fraction)? =
  27. 27.Write 2.3 × 10⁻² as a decimal. =
  28. 28.Write 3,500 in standard form as 3.5 × 10ⁿ. What is n?
  29. 29.Write 6.2 × 10⁻² as a decimal. =
  30. 30.Write 4.3 × 10⁻² as a decimal. =
  31. 31.Write 5¹³ ÷ 5⁵ as a single power 5ⁿ. What is n?
  32. 32.What is the value of 4³? =
  33. 33.What is the value of 6³? =
  34. 34.What is the value of 4⁸? =
  35. 35.Write 3.6 × 10⁻³ as a decimal. =
  36. 36.Write 6,900 in standard form as 6.9 × 10ⁿ. What is n?
  37. 37.What is the value of 8⁻³ (as a fraction)? =
  38. 38.What is the value of 2⁶ × 2⁻⁴? =
  39. 39.What is the value of 10⁵ × 10⁻¹? =
  40. 40.What is the value of 5⁻⁴ (as a fraction)? =

Answer key

  1. 1/2
  2. 1/243
  3. 49/25
  4. 64
  5. 13
  6. 12
  7. 4600
  8. 1024
  9. 21
  10. 46656
  11. 125
  12. 4400000
  13. 180
  14. 256
  15. 1/5
  16. 45
  17. 690000
  18. 470000
  19. 2
  20. 7/2
  21. 3
  22. 0.0053
  23. 8
  24. 0.95
  25. 0.82
  26. 1/16
  27. 0.023
  28. 3
  29. 0.062
  30. 0.043
  31. 8
  32. 64
  33. 216
  34. 65536
  35. 0.0036
  36. 3
  37. 1/512
  38. 4
  39. 10000
  40. 1/625

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