← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 781 · 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 2² × 2⁻⁵? =
  2. 2.1.1 × 10⁴ =
  3. 3.What is the value of 10²? =
  4. 4.What is the value of (1/4)⁻¹? =
  5. 5.Write 8¹⁴ ÷ 8⁹ as a single power 8ⁿ. What is n?
  6. 6.What is the value of 3⁹? =
  7. 7.What is the value of 5² × 5⁻²? =
  8. 8.What is the value of 2⁵ × 2⁻⁴? =
  9. 9.What is the value of 2⁶ × 2⁻⁵? =
  10. 10.What is the value of (1/2)⁻²? =
  11. 11.What is the value of 10⁵? =
  12. 12.What is the value of 5² × 5⁻¹? =
  13. 13.Write 2⁷ × 2⁵ as a single power 2ⁿ. What is n?
  14. 14.What is the value of 5⁻⁴ (as a fraction)? =
  15. 15.What is the value of 5⁵ × 5⁻³? =
  16. 16.Write 8.4 × 10⁻⁴ as a decimal. =
  17. 17.What is the value of 10¹ × 10⁻²? =
  18. 18.What is the value of 6³? =
  19. 19.What is the value of 10¹ × 10⁻³? =
  20. 20.What is the value of 3¹ × 3⁻³? =
  21. 21.What is the value of 10⁴ × 10⁻³? =
  22. 22.What is the value of 4⁸? =
  23. 23.Write 6.1 × 10⁻³ as a decimal. =
  24. 24.What is the value of 10² × 10⁻⁴? =
  25. 25.Write 1.4 × 10⁻⁴ as a decimal. =
  26. 26.Write 3 × 10⁻² as a decimal. =
  27. 27.Write 4¹⁰ ÷ 4⁵ as a single power 4ⁿ. What is n?
  28. 28.6 × 10⁴ =
  29. 29.Write 6¹⁴ ÷ 6⁶ as a single power 6ⁿ. What is n?
  30. 30.6.8 × 10⁴ =
  31. 31.2.6 × 10⁶ =
  32. 32.Write 3⁵ × 3⁸ as a single power 3ⁿ. What is n?
  33. 33.Write (9⁸)⁸ as a single power 9ⁿ. What is n?
  34. 34.What is the value of (4/7)⁻¹? =
  35. 35.What is the value of 9⁻³ (as a fraction)? =
  36. 36.What is the value of 4⁻⁴ (as a fraction)? =
  37. 37.Write 4¹⁷ ÷ 4⁹ as a single power 4ⁿ. What is n?
  38. 38.Write 2,40,00,000 in standard form as 2.4 × 10ⁿ. What is n?
  39. 39.Write 7⁹ ÷ 7⁶ as a single power 7ⁿ. What is n?
  40. 40.Write 1.5 × 10⁻⁴ as a decimal. =

Answer key

  1. 1/8
  2. 11000
  3. 100
  4. 4
  5. 5
  6. 19683
  7. 1
  8. 2
  9. 2
  10. 4
  11. 100000
  12. 5
  13. 12
  14. 1/625
  15. 25
  16. 0.00084
  17. 1/10
  18. 216
  19. 1/100
  20. 1/9
  21. 10
  22. 65536
  23. 0.0061
  24. 1/100
  25. 0.00014
  26. 0.03
  27. 5
  28. 60000
  29. 8
  30. 68000
  31. 2600000
  32. 13
  33. 64
  34. 7/4
  35. 1/729
  36. 1/256
  37. 8
  38. 7
  39. 3
  40. 0.00015

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