← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 490 · 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 (4/5)⁻¹? =
  2. 2.What is the value of 4⁶? =
  3. 3.What is the value of 8³? =
  4. 4.Write 2.8 × 10⁻⁴ as a decimal. =
  5. 5.What is the value of (5/7)⁻²? =
  6. 6.Write 1.3 × 10⁻¹ as a decimal. =
  7. 7.Write 2⁸ × 2⁴ as a single power 2ⁿ. What is n?
  8. 8.2.4 × 10³ =
  9. 9.Write (5³)⁶ as a single power 5ⁿ. What is n?
  10. 10.What is the value of 10⁴ × 10⁻⁴? =
  11. 11.Write 2¹⁰ ÷ 2⁶ as a single power 2ⁿ. What is n?
  12. 12.What is the value of 6⁴? =
  13. 13.Write 9.9 × 10⁻³ as a decimal. =
  14. 14.3.4 × 10⁴ =
  15. 15.What is the value of 2⁻¹ (as a fraction)? =
  16. 16.What is the value of 7⁻³ (as a fraction)? =
  17. 17.What is the value of 10⁴ × 10⁻⁶? =
  18. 18.What is the value of 4⁴? =
  19. 19.9.7 × 10⁴ =
  20. 20.What is the value of 3⁶ × 3⁻⁶? =
  21. 21.7.7 × 10⁶ =
  22. 22.What is the value of 2¹ × 2⁻³? =
  23. 23.What is the value of 9³? =
  24. 24.Write 4² × 4⁶ as a single power 4ⁿ. What is n?
  25. 25.1.1 × 10² =
  26. 26.Write 9⁷ × 9⁴ as a single power 9ⁿ. What is n?
  27. 27.What is the value of 6⁻¹ (as a fraction)? =
  28. 28.Write 5.9 × 10⁻³ as a decimal. =
  29. 29.What is the value of 3²? =
  30. 30.What is the value of 9⁻² (as a fraction)? =
  31. 31.Write 2,20,000 in standard form as 2.2 × 10ⁿ. What is n?
  32. 32.What is the value of 10⁵ × 10⁻²? =
  33. 33.What is the value of 5⁶? =
  34. 34.Write 8³ × 8⁴ as a single power 8ⁿ. What is n?
  35. 35.Write 2 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of 2⁴? =
  37. 37.5.3 × 10³ =
  38. 38.What is the value of (3/5)⁻²? =
  39. 39.What is the value of 10² × 10⁻⁶? =
  40. 40.What is the value of (4/9)⁻²? =

Answer key

  1. 5/4
  2. 4096
  3. 512
  4. 0.00028
  5. 49/25
  6. 0.13
  7. 12
  8. 2400
  9. 18
  10. 1
  11. 4
  12. 1296
  13. 0.0099
  14. 34000
  15. 1/2
  16. 1/343
  17. 1/100
  18. 256
  19. 97000
  20. 1
  21. 7700000
  22. 1/4
  23. 729
  24. 8
  25. 110
  26. 11
  27. 1/6
  28. 0.0059
  29. 9
  30. 1/81
  31. 5
  32. 1000
  33. 15625
  34. 7
  35. 0.0002
  36. 16
  37. 5300
  38. 25/9
  39. 1/10000
  40. 81/16

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