← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 482 · 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 3⁻⁴ (as a fraction)? =
  2. 2.What is the value of 10²? =
  3. 3.Write 140 in standard form as 1.4 × 10ⁿ. What is n?
  4. 4.What is the value of 3¹ × 3⁻²? =
  5. 5.What is the value of 5⁶? =
  6. 6.Write 4⁹ ÷ 4⁵ as a single power 4ⁿ. What is n?
  7. 7.What is the value of 3⁵ × 3⁻³? =
  8. 8.Write 6.1 × 10⁻² as a decimal. =
  9. 9.5.4 × 10⁶ =
  10. 10.What is the value of 6³? =
  11. 11.Write 43,00,000 in standard form as 4.3 × 10ⁿ. What is n?
  12. 12.4.9 × 10² =
  13. 13.Write (2⁷)⁹ as a single power 2ⁿ. What is n?
  14. 14.What is the value of 2¹⁰? =
  15. 15.What is the value of 2¹ × 2⁻⁵? =
  16. 16.5.2 × 10³ =
  17. 17.What is the value of 2⁻⁵ (as a fraction)? =
  18. 18.What is the value of 2³ × 2⁻²? =
  19. 19.Write (3⁴)⁸ as a single power 3ⁿ. What is n?
  20. 20.What is the value of 2⁹? =
  21. 21.Write 4.1 × 10⁻³ as a decimal. =
  22. 22.5.2 × 10⁴ =
  23. 23.What is the value of 5⁶ × 5⁻⁵? =
  24. 24.What is the value of 2² × 2⁻²? =
  25. 25.What is the value of (1/6)⁻²? =
  26. 26.What is the value of (3/4)⁻²? =
  27. 27.What is the value of 10³ × 10⁻³? =
  28. 28.Write 6.4 × 10⁻⁴ as a decimal. =
  29. 29.What is the value of (1/2)⁻²? =
  30. 30.What is the value of (1/4)⁻¹? =
  31. 31.What is the value of 10⁴ × 10⁻⁴? =
  32. 32.Write 9 × 10⁻² as a decimal. =
  33. 33.Write 9⁵ × 9⁷ as a single power 9ⁿ. What is n?
  34. 34.What is the value of 10³? =
  35. 35.What is the value of 8²? =
  36. 36.Write 55,000 in standard form as 5.5 × 10ⁿ. What is n?
  37. 37.Write 4.8 × 10⁻¹ as a decimal. =
  38. 38.5.8 × 10⁴ =
  39. 39.Write 2.7 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of 3² × 3⁻¹? =

Answer key

  1. 1/81
  2. 100
  3. 2
  4. 1/3
  5. 15625
  6. 4
  7. 9
  8. 0.061
  9. 5400000
  10. 216
  11. 6
  12. 490
  13. 63
  14. 1024
  15. 1/16
  16. 5200
  17. 1/32
  18. 2
  19. 32
  20. 512
  21. 0.0041
  22. 52000
  23. 5
  24. 1
  25. 36
  26. 16/9
  27. 1
  28. 0.00064
  29. 4
  30. 4
  31. 1
  32. 0.09
  33. 12
  34. 1000
  35. 64
  36. 4
  37. 0.48
  38. 58000
  39. 0.00027
  40. 3

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