← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 211 · 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 4⁸? =
  2. 2.Write 3.9 × 10⁻² as a decimal. =
  3. 3.What is the value of 10⁴ × 10⁻¹? =
  4. 4.What is the value of 2⁻⁹ (as a fraction)? =
  5. 5.What is the value of 9⁵? =
  6. 6.What is the value of 9²? =
  7. 7.Write 7¹³ ÷ 7⁹ as a single power 7ⁿ. What is n?
  8. 8.Write 5.7 × 10⁻¹ as a decimal. =
  9. 9.What is the value of (7/8)⁻¹? =
  10. 10.Write 2⁹ × 2⁵ as a single power 2ⁿ. What is n?
  11. 11.Write (9⁹)³ as a single power 9ⁿ. What is n?
  12. 12.Write 4.6 × 10⁻¹ as a decimal. =
  13. 13.9.5 × 10⁷ =
  14. 14.Write 7³ × 7³ as a single power 7ⁿ. What is n?
  15. 15.Write 7⁶ × 7⁶ as a single power 7ⁿ. What is n?
  16. 16.What is the value of 5² × 5⁻¹? =
  17. 17.Write 3³ × 3⁴ as a single power 3ⁿ. What is n?
  18. 18.Write 2¹¹ ÷ 2⁹ as a single power 2ⁿ. What is n?
  19. 19.Write 7,100 in standard form as 7.1 × 10ⁿ. What is n?
  20. 20.What is the value of 3² × 3⁻⁴? =
  21. 21.Write 7.9 × 10⁻¹ as a decimal. =
  22. 22.Write 9.3 × 10⁻¹ as a decimal. =
  23. 23.Write 6¹⁰ ÷ 6⁴ as a single power 6ⁿ. What is n?
  24. 24.Write 41,000 in standard form as 4.1 × 10ⁿ. What is n?
  25. 25.Write 2.3 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 2⁷? =
  27. 27.What is the value of 4⁻² (as a fraction)? =
  28. 28.What is the value of 6⁶? =
  29. 29.Write 2⁷ × 2⁹ as a single power 2ⁿ. What is n?
  30. 30.What is the value of 5⁵ × 5⁻⁶? =
  31. 31.Write 8⁷ × 8⁵ as a single power 8ⁿ. What is n?
  32. 32.What is the value of 3⁵ × 3⁻⁶? =
  33. 33.Write 7¹¹ ÷ 7³ as a single power 7ⁿ. What is n?
  34. 34.Write (2³)⁶ as a single power 2ⁿ. What is n?
  35. 35.What is the value of 3⁵? =
  36. 36.Write 6 × 10⁻² as a decimal. =
  37. 37.What is the value of (3/4)⁻²? =
  38. 38.Write 6.5 × 10⁻² as a decimal. =
  39. 39.What is the value of (3/7)⁻²? =
  40. 40.What is the value of 5⁴ × 5⁻³? =

Answer key

  1. 65536
  2. 0.039
  3. 1000
  4. 1/512
  5. 59049
  6. 81
  7. 4
  8. 0.57
  9. 8/7
  10. 14
  11. 27
  12. 0.46
  13. 95000000
  14. 6
  15. 12
  16. 5
  17. 7
  18. 2
  19. 3
  20. 1/9
  21. 0.79
  22. 0.93
  23. 6
  24. 4
  25. 0.23
  26. 128
  27. 1/16
  28. 46656
  29. 16
  30. 1/5
  31. 12
  32. 1/3
  33. 8
  34. 18
  35. 243
  36. 0.06
  37. 16/9
  38. 0.065
  39. 49/9
  40. 5

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