← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 376 · 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 1.5 × 10⁻¹ as a decimal. =
  2. 2.Write 8.1 × 10⁻⁴ as a decimal. =
  3. 3.Write 6¹⁵ ÷ 6⁶ as a single power 6ⁿ. What is n?
  4. 4.What is the value of 5³ × 5⁻⁵? =
  5. 5.Write (2⁶)² as a single power 2ⁿ. What is n?
  6. 6.What is the value of 3⁻² (as a fraction)? =
  7. 7.Write 1,40,000 in standard form as 1.4 × 10ⁿ. What is n?
  8. 8.2.4 × 10⁵ =
  9. 9.Write 7 × 10⁻¹ as a decimal. =
  10. 10.What is the value of 3⁻⁴ (as a fraction)? =
  11. 11.What is the value of 2¹¹? =
  12. 12.What is the value of 3³ × 3⁻¹? =
  13. 13.What is the value of 2² × 2⁻⁶? =
  14. 14.Write 2.6 × 10⁻³ as a decimal. =
  15. 15.What is the value of (5/9)⁻¹? =
  16. 16.What is the value of 2²? =
  17. 17.What is the value of 3⁸? =
  18. 18.What is the value of 2⁶? =
  19. 19.Write 8.8 × 10⁻² as a decimal. =
  20. 20.Write 5¹⁵ ÷ 5⁷ as a single power 5ⁿ. What is n?
  21. 21.What is the value of 6²? =
  22. 22.What is the value of (1/7)⁻²? =
  23. 23.What is the value of 2¹³? =
  24. 24.Write 4⁵ × 4⁹ as a single power 4ⁿ. What is n?
  25. 25.What is the value of 2⁷? =
  26. 26.What is the value of 5²? =
  27. 27.What is the value of (7/9)⁻²? =
  28. 28.Write 7⁹ ÷ 7⁶ as a single power 7ⁿ. What is n?
  29. 29.What is the value of 3²? =
  30. 30.Write 1,60,000 in standard form as 1.6 × 10ⁿ. What is n?
  31. 31.Write 8.4 × 10⁻³ as a decimal. =
  32. 32.What is the value of 2⁶ × 2⁻³? =
  33. 33.What is the value of 9⁵? =
  34. 34.Write 2 × 10⁻¹ as a decimal. =
  35. 35.What is the value of 5¹ × 5⁻⁶? =
  36. 36.Write 9¹¹ ÷ 9⁷ as a single power 9ⁿ. What is n?
  37. 37.What is the value of 7⁻³ (as a fraction)? =
  38. 38.Write (8³)² as a single power 8ⁿ. What is n?
  39. 39.What is the value of 2⁶ × 2⁻¹? =
  40. 40.Write (4⁸)⁴ as a single power 4ⁿ. What is n?

Answer key

  1. 0.15
  2. 0.00081
  3. 9
  4. 1/25
  5. 12
  6. 1/9
  7. 5
  8. 240000
  9. 0.7
  10. 1/81
  11. 2048
  12. 9
  13. 1/16
  14. 0.0026
  15. 9/5
  16. 4
  17. 6561
  18. 64
  19. 0.088
  20. 8
  21. 36
  22. 49
  23. 8192
  24. 14
  25. 128
  26. 25
  27. 81/49
  28. 3
  29. 9
  30. 5
  31. 0.0084
  32. 8
  33. 59049
  34. 0.2
  35. 1/3125
  36. 4
  37. 1/343
  38. 6
  39. 32
  40. 32

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