← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 695 · 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 5⁴? =
  2. 2.What is the value of 3⁷? =
  3. 3.Write 2.5 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of 2⁻⁹ (as a fraction)? =
  5. 5.Write 9.4 × 10⁻² as a decimal. =
  6. 6.Write 2⁸ × 2⁹ as a single power 2ⁿ. What is n?
  7. 7.Write 7⁶ × 7³ as a single power 7ⁿ. What is n?
  8. 8.Write 7,30,000 in standard form as 7.3 × 10ⁿ. What is n?
  9. 9.What is the value of 3³? =
  10. 10.What is the value of 2⁶ × 2⁻¹? =
  11. 11.What is the value of (5/9)⁻²? =
  12. 12.Write 5.9 × 10⁻³ as a decimal. =
  13. 13.What is the value of 10⁵ × 10⁻²? =
  14. 14.What is the value of 5⁵ × 5⁻⁵? =
  15. 15.Write 3³ × 3⁷ as a single power 3ⁿ. What is n?
  16. 16.What is the value of 4²? =
  17. 17.Write 8.8 × 10⁻³ as a decimal. =
  18. 18.What is the value of (6/7)⁻²? =
  19. 19.What is the value of 2¹²? =
  20. 20.Write 9¹² ÷ 9⁹ as a single power 9ⁿ. What is n?
  21. 21.What is the value of 3⁵? =
  22. 22.4.5 × 10³ =
  23. 23.Write 770 in standard form as 7.7 × 10ⁿ. What is n?
  24. 24.Write (3⁶)⁴ as a single power 3ⁿ. What is n?
  25. 25.Write 6¹¹ ÷ 6⁴ as a single power 6ⁿ. What is n?
  26. 26.What is the value of (2/5)⁻²? =
  27. 27.Write 2.2 × 10⁻¹ as a decimal. =
  28. 28.What is the value of (4/7)⁻¹? =
  29. 29.8.5 × 10⁵ =
  30. 30.What is the value of 2⁻⁷ (as a fraction)? =
  31. 31.What is the value of 7²? =
  32. 32.What is the value of (1/4)⁻²? =
  33. 33.What is the value of 10⁴? =
  34. 34.What is the value of 2² × 2⁻¹? =
  35. 35.Write 1.4 × 10⁻² as a decimal. =
  36. 36.Write 58,00,000 in standard form as 5.8 × 10ⁿ. What is n?
  37. 37.What is the value of 9⁻³ (as a fraction)? =
  38. 38.What is the value of 3² × 3⁻³? =
  39. 39.What is the value of 2⁻⁴ (as a fraction)? =
  40. 40.3.4 × 10³ =

Answer key

  1. 625
  2. 2187
  3. 0.00025
  4. 1/512
  5. 0.094
  6. 17
  7. 9
  8. 5
  9. 27
  10. 32
  11. 81/25
  12. 0.0059
  13. 1000
  14. 1
  15. 10
  16. 16
  17. 0.0088
  18. 49/36
  19. 4096
  20. 3
  21. 243
  22. 4500
  23. 2
  24. 24
  25. 7
  26. 25/4
  27. 0.22
  28. 7/4
  29. 850000
  30. 1/128
  31. 49
  32. 16
  33. 10000
  34. 2
  35. 0.014
  36. 6
  37. 1/729
  38. 1/3
  39. 1/16
  40. 3400

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