← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 503 · 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.Write 7¹¹ ÷ 7⁵ as a single power 7ⁿ. What is n?
  2. 2.What is the value of (8/9)⁻¹? =
  3. 3.What is the value of 2⁴ × 2⁻²? =
  4. 4.What is the value of (2/9)⁻²? =
  5. 5.3.8 × 10⁶ =
  6. 6.Write 6⁹ ÷ 6⁴ as a single power 6ⁿ. What is n?
  7. 7.Write 8¹⁷ ÷ 8⁸ as a single power 8ⁿ. What is n?
  8. 8.What is the value of 4⁸? =
  9. 9.What is the value of 3⁵ × 3⁻⁵? =
  10. 10.What is the value of 3²? =
  11. 11.What is the value of 10³? =
  12. 12.2.5 × 10⁷ =
  13. 13.4.8 × 10⁵ =
  14. 14.Write 1,600 in standard form as 1.6 × 10ⁿ. What is n?
  15. 15.What is the value of 5⁻³ (as a fraction)? =
  16. 16.Write 8.7 × 10⁻¹ as a decimal. =
  17. 17.Write 7.8 × 10⁻¹ as a decimal. =
  18. 18.8.8 × 10⁵ =
  19. 19.Write 7⁵ ÷ 7² as a single power 7ⁿ. What is n?
  20. 20.What is the value of (3/7)⁻¹? =
  21. 21.What is the value of 8⁻² (as a fraction)? =
  22. 22.Write 6 × 10⁻⁴ as a decimal. =
  23. 23.Write 200 in standard form as 2 × 10ⁿ. What is n?
  24. 24.Write (5²)⁴ as a single power 5ⁿ. What is n?
  25. 25.Write 970 in standard form as 9.7 × 10ⁿ. What is n?
  26. 26.What is the value of 5⁴ × 5⁻²? =
  27. 27.What is the value of 3⁶? =
  28. 28.3.8 × 10³ =
  29. 29.What is the value of 2⁻⁵ (as a fraction)? =
  30. 30.Write (5⁵)³ as a single power 5ⁿ. What is n?
  31. 31.What is the value of (7/9)⁻¹? =
  32. 32.Write 3.6 × 10⁻³ as a decimal. =
  33. 33.What is the value of 2⁵ × 2⁻⁴? =
  34. 34.What is the value of 2⁻² (as a fraction)? =
  35. 35.What is the value of 9⁵? =
  36. 36.Write 2⁸ × 2⁴ as a single power 2ⁿ. What is n?
  37. 37.What is the value of 6²? =
  38. 38.Write 9⁷ × 9³ as a single power 9ⁿ. What is n?
  39. 39.What is the value of 10⁵? =
  40. 40.Write 9⁶ ÷ 9⁴ as a single power 9ⁿ. What is n?

Answer key

  1. 6
  2. 9/8
  3. 4
  4. 81/4
  5. 3800000
  6. 5
  7. 9
  8. 65536
  9. 1
  10. 9
  11. 1000
  12. 25000000
  13. 480000
  14. 3
  15. 1/125
  16. 0.87
  17. 0.78
  18. 880000
  19. 3
  20. 7/3
  21. 1/64
  22. 0.0006
  23. 2
  24. 8
  25. 2
  26. 25
  27. 729
  28. 3800
  29. 1/32
  30. 15
  31. 9/7
  32. 0.0036
  33. 2
  34. 1/4
  35. 59049
  36. 12
  37. 36
  38. 10
  39. 100000
  40. 2

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