← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 512 · 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 3¹⁰? =
  2. 2.Write 650 in standard form as 6.5 × 10ⁿ. What is n?
  3. 3.What is the value of 2² × 2⁻⁶? =
  4. 4.Write 2¹² ÷ 2⁹ as a single power 2ⁿ. What is n?
  5. 5.What is the value of 2¹ × 2⁻³? =
  6. 6.What is the value of 8⁻² (as a fraction)? =
  7. 7.What is the value of 5⁶ × 5⁻⁶? =
  8. 8.Write 9,50,000 in standard form as 9.5 × 10ⁿ. What is n?
  9. 9.8.1 × 10⁶ =
  10. 10.What is the value of 2¹ × 2⁻⁵? =
  11. 11.Write 3² × 3⁸ as a single power 3ⁿ. What is n?
  12. 12.What is the value of 2⁴ × 2⁻³? =
  13. 13.Write 2 × 10⁻¹ as a decimal. =
  14. 14.Write 2.4 × 10⁻¹ as a decimal. =
  15. 15.Write 4 × 10⁻¹ as a decimal. =
  16. 16.Write 3⁹ × 3⁴ as a single power 3ⁿ. What is n?
  17. 17.What is the value of (6/7)⁻¹? =
  18. 18.What is the value of 3¹ × 3⁻⁵? =
  19. 19.What is the value of 3⁻⁵ (as a fraction)? =
  20. 20.1.1 × 10³ =
  21. 21.Write 4⁹ ÷ 4⁶ as a single power 4ⁿ. What is n?
  22. 22.Write 630 in standard form as 6.3 × 10ⁿ. What is n?
  23. 23.What is the value of (1/5)⁻¹? =
  24. 24.What is the value of 10⁶ × 10⁻⁵? =
  25. 25.Write 4⁸ × 4⁸ as a single power 4ⁿ. What is n?
  26. 26.Write 35,000 in standard form as 3.5 × 10ⁿ. What is n?
  27. 27.4.4 × 10⁶ =
  28. 28.Write 3.8 × 10⁻³ as a decimal. =
  29. 29.What is the value of 7³? =
  30. 30.What is the value of 9⁵? =
  31. 31.What is the value of 7⁻¹ (as a fraction)? =
  32. 32.Write 6.2 × 10⁻¹ as a decimal. =
  33. 33.What is the value of (5/9)⁻¹? =
  34. 34.What is the value of 6³? =
  35. 35.Write 4⁷ ÷ 4³ as a single power 4ⁿ. What is n?
  36. 36.Write 1.5 × 10⁻³ as a decimal. =
  37. 37.8.7 × 10⁶ =
  38. 38.What is the value of (1/6)⁻¹? =
  39. 39.9 × 10⁷ =
  40. 40.What is the value of 3⁻⁶ (as a fraction)? =

Answer key

  1. 59049
  2. 2
  3. 1/16
  4. 3
  5. 1/4
  6. 1/64
  7. 1
  8. 5
  9. 8100000
  10. 1/16
  11. 10
  12. 2
  13. 0.2
  14. 0.24
  15. 0.4
  16. 13
  17. 7/6
  18. 1/81
  19. 1/243
  20. 1100
  21. 3
  22. 2
  23. 5
  24. 10
  25. 16
  26. 4
  27. 4400000
  28. 0.0038
  29. 343
  30. 59049
  31. 1/7
  32. 0.62
  33. 9/5
  34. 216
  35. 4
  36. 0.0015
  37. 8700000
  38. 6
  39. 90000000
  40. 1/729

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