← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 298 · 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 (2⁴)⁹ as a single power 2ⁿ. What is n?
  2. 2.Write 6⁵ × 6⁸ as a single power 6ⁿ. What is n?
  3. 3.What is the value of 3³? =
  4. 4.What is the value of 2⁹? =
  5. 5.Write 4⁵ × 4⁹ as a single power 4ⁿ. What is n?
  6. 6.What is the value of (4/5)⁻¹? =
  7. 7.Write 1.4 × 10⁻² as a decimal. =
  8. 8.Write 1.9 × 10⁻⁴ as a decimal. =
  9. 9.What is the value of 5⁷? =
  10. 10.7.8 × 10² =
  11. 11.What is the value of 3⁻⁴ (as a fraction)? =
  12. 12.What is the value of 2⁻¹ (as a fraction)? =
  13. 13.What is the value of 7⁻³ (as a fraction)? =
  14. 14.What is the value of 10⁻³ (as a fraction)? =
  15. 15.What is the value of 2²? =
  16. 16.Write 9³ × 9⁶ as a single power 9ⁿ. What is n?
  17. 17.What is the value of 2¹³? =
  18. 18.Write 9¹⁵ ÷ 9⁶ as a single power 9ⁿ. What is n?
  19. 19.3.4 × 10⁷ =
  20. 20.What is the value of 4⁻² (as a fraction)? =
  21. 21.What is the value of 3⁴ × 3⁻⁶? =
  22. 22.What is the value of 9⁻¹ (as a fraction)? =
  23. 23.Write 3.1 × 10⁻⁴ as a decimal. =
  24. 24.Write 5¹² ÷ 5⁷ as a single power 5ⁿ. What is n?
  25. 25.What is the value of 2³ × 2⁻²? =
  26. 26.Write 9⁹ × 9⁵ as a single power 9ⁿ. What is n?
  27. 27.What is the value of 5⁵ × 5⁻⁶? =
  28. 28.Write 8⁴ ÷ 8² as a single power 8ⁿ. What is n?
  29. 29.What is the value of (7/8)⁻²? =
  30. 30.What is the value of 3¹ × 3⁻²? =
  31. 31.Write 4³ × 4⁹ as a single power 4ⁿ. What is n?
  32. 32.What is the value of 5² × 5⁻¹? =
  33. 33.2.7 × 10² =
  34. 34.Write (8⁶)³ as a single power 8ⁿ. What is n?
  35. 35.What is the value of 8³? =
  36. 36.What is the value of 2¹⁰? =
  37. 37.What is the value of 3³ × 3⁻⁴? =
  38. 38.What is the value of 3⁶? =
  39. 39.What is the value of 2⁶? =
  40. 40.Write 8,900 in standard form as 8.9 × 10ⁿ. What is n?

Answer key

  1. 36
  2. 13
  3. 27
  4. 512
  5. 14
  6. 5/4
  7. 0.014
  8. 0.00019
  9. 78125
  10. 780
  11. 1/81
  12. 1/2
  13. 1/343
  14. 1/1000
  15. 4
  16. 9
  17. 8192
  18. 9
  19. 34000000
  20. 1/16
  21. 1/9
  22. 1/9
  23. 0.00031
  24. 5
  25. 2
  26. 14
  27. 1/5
  28. 2
  29. 64/49
  30. 1/3
  31. 12
  32. 5
  33. 270
  34. 18
  35. 512
  36. 1024
  37. 1/3
  38. 729
  39. 64
  40. 3

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