← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 567 · 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 7¹⁴ ÷ 7⁹ as a single power 7ⁿ. What is n?
  2. 2.What is the value of 2⁵ × 2⁻⁵? =
  3. 3.What is the value of (1/9)⁻¹? =
  4. 4.What is the value of 4²? =
  5. 5.What is the value of 10³ × 10⁻¹? =
  6. 6.Write 6.3 × 10⁻³ as a decimal. =
  7. 7.What is the value of (5/7)⁻²? =
  8. 8.Write 3.6 × 10⁻¹ as a decimal. =
  9. 9.Write 2⁶ ÷ 2² as a single power 2ⁿ. What is n?
  10. 10.What is the value of (3/8)⁻²? =
  11. 11.What is the value of 5³? =
  12. 12.What is the value of 5⁶ × 5⁻¹? =
  13. 13.Write 2.6 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of (1/3)⁻²? =
  15. 15.Write 5.5 × 10⁻⁴ as a decimal. =
  16. 16.What is the value of 2⁻⁷ (as a fraction)? =
  17. 17.What is the value of 4⁴? =
  18. 18.What is the value of 2² × 2⁻⁶? =
  19. 19.Write 8.6 × 10⁻³ as a decimal. =
  20. 20.Write 7.7 × 10⁻⁴ as a decimal. =
  21. 21.What is the value of 10⁻² (as a fraction)? =
  22. 22.What is the value of 4⁵? =
  23. 23.Write (6³)⁶ as a single power 6ⁿ. What is n?
  24. 24.Write 2,000 in standard form as 2 × 10ⁿ. What is n?
  25. 25.What is the value of 9³? =
  26. 26.What is the value of 6⁵? =
  27. 27.What is the value of 3⁶ × 3⁻⁴? =
  28. 28.What is the value of 6²? =
  29. 29.What is the value of 3³ × 3⁻⁴? =
  30. 30.Write 6.8 × 10⁻¹ as a decimal. =
  31. 31.What is the value of (3/5)⁻²? =
  32. 32.What is the value of 3¹⁰? =
  33. 33.Write (5²)⁷ as a single power 5ⁿ. What is n?
  34. 34.1.3 × 10⁷ =
  35. 35.Write 3³ × 3² as a single power 3ⁿ. What is n?
  36. 36.What is the value of (2/7)⁻¹? =
  37. 37.What is the value of 5¹ × 5⁻⁴? =
  38. 38.What is the value of 7⁴? =
  39. 39.What is the value of 2⁻⁶ (as a fraction)? =
  40. 40.Write (7⁸)⁷ as a single power 7ⁿ. What is n?

Answer key

  1. 5
  2. 1
  3. 9
  4. 16
  5. 100
  6. 0.0063
  7. 49/25
  8. 0.36
  9. 4
  10. 64/9
  11. 125
  12. 3125
  13. 0.00026
  14. 9
  15. 0.00055
  16. 1/128
  17. 256
  18. 1/16
  19. 0.0086
  20. 0.00077
  21. 1/100
  22. 1024
  23. 18
  24. 3
  25. 729
  26. 7776
  27. 9
  28. 36
  29. 1/3
  30. 0.68
  31. 25/9
  32. 59049
  33. 14
  34. 13000000
  35. 5
  36. 7/2
  37. 1/125
  38. 2401
  39. 1/64
  40. 56

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