← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 790 · 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 × 2⁻⁶? =
  2. 2.What is the value of 2⁶ × 2⁻¹? =
  3. 3.Write 24,000 in standard form as 2.4 × 10ⁿ. What is n?
  4. 4.Write (8⁶)² as a single power 8ⁿ. What is n?
  5. 5.What is the value of 3³ × 3⁻¹? =
  6. 6.Write 4.8 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 2¹¹? =
  8. 8.What is the value of 2¹⁰? =
  9. 9.Write 4⁹ ÷ 4² as a single power 4ⁿ. What is n?
  10. 10.What is the value of (1/3)⁻²? =
  11. 11.What is the value of 2¹²? =
  12. 12.Write 8,40,00,000 in standard form as 8.4 × 10ⁿ. What is n?
  13. 13.Write 2.6 × 10⁻¹ as a decimal. =
  14. 14.Write 4 × 10⁻³ as a decimal. =
  15. 15.Write (7⁵)⁹ as a single power 7ⁿ. What is n?
  16. 16.What is the value of 10⁵ × 10⁻³? =
  17. 17.Write 8⁵ × 8⁶ as a single power 8ⁿ. What is n?
  18. 18.What is the value of 3⁶? =
  19. 19.What is the value of 5⁶ × 5⁻⁶? =
  20. 20.What is the value of (6/7)⁻²? =
  21. 21.What is the value of 2² × 2⁻³? =
  22. 22.Write 98,000 in standard form as 9.8 × 10ⁿ. What is n?
  23. 23.Write (5⁸)⁹ as a single power 5ⁿ. What is n?
  24. 24.What is the value of (1/8)⁻²? =
  25. 25.What is the value of 2¹ × 2⁻³? =
  26. 26.Write 7.4 × 10⁻² as a decimal. =
  27. 27.5 × 10⁵ =
  28. 28.What is the value of 5³ × 5⁻⁵? =
  29. 29.Write 6 × 10⁻¹ as a decimal. =
  30. 30.What is the value of (3/4)⁻¹? =
  31. 31.What is the value of 2² × 2⁻²? =
  32. 32.What is the value of (1/4)⁻¹? =
  33. 33.What is the value of 6⁵? =
  34. 34.What is the value of 2¹⁶? =
  35. 35.What is the value of 2⁸? =
  36. 36.What is the value of 4⁻⁴ (as a fraction)? =
  37. 37.What is the value of 2⁵ × 2⁻²? =
  38. 38.What is the value of 2⁶ × 2⁻⁶? =
  39. 39.What is the value of 5⁻¹ (as a fraction)? =
  40. 40.Write 7⁶ × 7⁵ as a single power 7ⁿ. What is n?

Answer key

  1. 1/16
  2. 32
  3. 4
  4. 12
  5. 9
  6. 0.48
  7. 2048
  8. 1024
  9. 7
  10. 9
  11. 4096
  12. 7
  13. 0.26
  14. 0.004
  15. 45
  16. 100
  17. 11
  18. 729
  19. 1
  20. 49/36
  21. 1/2
  22. 4
  23. 72
  24. 64
  25. 1/4
  26. 0.074
  27. 500000
  28. 1/25
  29. 0.6
  30. 4/3
  31. 1
  32. 4
  33. 7776
  34. 65536
  35. 256
  36. 1/256
  37. 8
  38. 1
  39. 1/5
  40. 11

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