← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 105 · 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 41,000 in standard form as 4.1 × 10ⁿ. What is n?
  2. 2.Write 94,000 in standard form as 9.4 × 10ⁿ. What is n?
  3. 3.What is the value of 3⁴? =
  4. 4.What is the value of 2²? =
  5. 5.Write 560 in standard form as 5.6 × 10ⁿ. What is n?
  6. 6.Write 8.1 × 10⁻⁴ as a decimal. =
  7. 7.What is the value of 3¹⁰? =
  8. 8.Write 5.9 × 10⁻² as a decimal. =
  9. 9.What is the value of 2⁴? =
  10. 10.Write 3³ × 3² as a single power 3ⁿ. What is n?
  11. 11.Write 2.6 × 10⁻¹ as a decimal. =
  12. 12.What is the value of 5⁴ × 5⁻³? =
  13. 13.What is the value of 9⁴? =
  14. 14.Write 2,80,000 in standard form as 2.8 × 10ⁿ. What is n?
  15. 15.Write 7 × 10⁻¹ as a decimal. =
  16. 16.What is the value of 10¹ × 10⁻¹? =
  17. 17.Write 1.9 × 10⁻¹ as a decimal. =
  18. 18.Write 8.8 × 10⁻³ as a decimal. =
  19. 19.What is the value of 3⁻⁶ (as a fraction)? =
  20. 20.Write 13,00,000 in standard form as 1.3 × 10ⁿ. What is n?
  21. 21.Write (9³)⁵ as a single power 9ⁿ. What is n?
  22. 22.What is the value of (2/7)⁻¹? =
  23. 23.Write (5⁴)⁸ as a single power 5ⁿ. What is n?
  24. 24.What is the value of 2¹³? =
  25. 25.What is the value of 3⁵ × 3⁻⁶? =
  26. 26.Write 9⁴ × 9⁷ as a single power 9ⁿ. What is n?
  27. 27.Write 9.3 × 10⁻⁴ as a decimal. =
  28. 28.Write 84,000 in standard form as 8.4 × 10ⁿ. What is n?
  29. 29.What is the value of 2⁶ × 2⁻⁴? =
  30. 30.Write 3.3 × 10⁻² as a decimal. =
  31. 31.Write 770 in standard form as 7.7 × 10ⁿ. What is n?
  32. 32.What is the value of (4/5)⁻¹? =
  33. 33.What is the value of 10¹ × 10⁻²? =
  34. 34.Write 4⁷ × 4⁷ as a single power 4ⁿ. What is n?
  35. 35.Write 3.2 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 2⁷? =
  37. 37.What is the value of 10⁵ × 10⁻⁶? =
  38. 38.What is the value of 9⁻¹ (as a fraction)? =
  39. 39.Write 1.3 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of 3⁻³ (as a fraction)? =

Answer key

  1. 4
  2. 4
  3. 81
  4. 4
  5. 2
  6. 0.00081
  7. 59049
  8. 0.059
  9. 16
  10. 5
  11. 0.26
  12. 5
  13. 6561
  14. 5
  15. 0.7
  16. 1
  17. 0.19
  18. 0.0088
  19. 1/729
  20. 6
  21. 15
  22. 7/2
  23. 32
  24. 8192
  25. 1/3
  26. 11
  27. 0.00093
  28. 4
  29. 4
  30. 0.033
  31. 2
  32. 5/4
  33. 1/10
  34. 14
  35. 0.32
  36. 128
  37. 1/10
  38. 1/9
  39. 0.00013
  40. 1/27

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