← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 319 · 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 5¹ × 5⁻⁵? =
  2. 2.7.5 × 10⁶ =
  3. 3.Write 2³ × 2³ as a single power 2ⁿ. What is n?
  4. 4.What is the value of 7⁵? =
  5. 5.What is the value of 4²? =
  6. 6.2.5 × 10³ =
  7. 7.What is the value of 2⁻² (as a fraction)? =
  8. 8.What is the value of 10⁴ × 10⁻⁶? =
  9. 9.Write 6¹¹ ÷ 6⁸ as a single power 6ⁿ. What is n?
  10. 10.Write (2⁶)⁴ as a single power 2ⁿ. What is n?
  11. 11.What is the value of 6²? =
  12. 12.What is the value of (2/5)⁻¹? =
  13. 13.Write 5.1 × 10⁻² as a decimal. =
  14. 14.What is the value of 3⁴? =
  15. 15.What is the value of 3³? =
  16. 16.What is the value of 2⁸? =
  17. 17.What is the value of 10³? =
  18. 18.What is the value of 3⁶ × 3⁻²? =
  19. 19.Write 3,000 in standard form as 3 × 10ⁿ. What is n?
  20. 20.What is the value of (4/9)⁻²? =
  21. 21.Write 240 in standard form as 2.4 × 10ⁿ. What is n?
  22. 22.8.6 × 10³ =
  23. 23.Write 6.3 × 10⁻⁴ as a decimal. =
  24. 24.What is the value of 5³ × 5⁻¹? =
  25. 25.Write 2² × 2² as a single power 2ⁿ. What is n?
  26. 26.Write 3³ × 3⁴ as a single power 3ⁿ. What is n?
  27. 27.Write 2.5 × 10⁻⁴ as a decimal. =
  28. 28.What is the value of 5¹ × 5⁻⁴? =
  29. 29.What is the value of 2¹²? =
  30. 30.6.6 × 10³ =
  31. 31.Write (4⁷)² as a single power 4ⁿ. What is n?
  32. 32.Write 7.9 × 10⁻² as a decimal. =
  33. 33.Write 2³ × 2⁸ as a single power 2ⁿ. What is n?
  34. 34.Write 2,00,000 in standard form as 2 × 10ⁿ. What is n?
  35. 35.What is the value of 3² × 3⁻²? =
  36. 36.What is the value of (4/7)⁻²? =
  37. 37.What is the value of 2² × 2⁻³? =
  38. 38.9.6 × 10³ =
  39. 39.What is the value of (3/4)⁻¹? =
  40. 40.Write 9⁸ × 9⁶ as a single power 9ⁿ. What is n?

Answer key

  1. 1/625
  2. 7500000
  3. 6
  4. 16807
  5. 16
  6. 2500
  7. 1/4
  8. 1/100
  9. 3
  10. 24
  11. 36
  12. 5/2
  13. 0.051
  14. 81
  15. 27
  16. 256
  17. 1000
  18. 81
  19. 3
  20. 81/16
  21. 2
  22. 8600
  23. 0.00063
  24. 25
  25. 4
  26. 7
  27. 0.00025
  28. 1/125
  29. 4096
  30. 6600
  31. 14
  32. 0.079
  33. 11
  34. 5
  35. 1
  36. 49/16
  37. 1/2
  38. 9600
  39. 4/3
  40. 14

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