← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 807 · 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 5.4 × 10⁻⁴ as a decimal. =
  2. 2.Write (4⁷)⁵ as a single power 4ⁿ. What is n?
  3. 3.Write 2.1 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of 7⁻² (as a fraction)? =
  5. 5.What is the value of 2⁴ × 2⁻¹? =
  6. 6.What is the value of 2¹³? =
  7. 7.Write 1,50,000 in standard form as 1.5 × 10ⁿ. What is n?
  8. 8.7.1 × 10⁵ =
  9. 9.Write 3⁶ × 3² as a single power 3ⁿ. What is n?
  10. 10.What is the value of 10²? =
  11. 11.What is the value of 3⁻⁴ (as a fraction)? =
  12. 12.What is the value of 3⁻³ (as a fraction)? =
  13. 13.Write 2.3 × 10⁻³ as a decimal. =
  14. 14.What is the value of 3² × 3⁻³? =
  15. 15.What is the value of 10¹ × 10⁻³? =
  16. 16.Write 5² × 5⁴ as a single power 5ⁿ. What is n?
  17. 17.Write 3¹⁰ ÷ 3⁴ as a single power 3ⁿ. What is n?
  18. 18.What is the value of 10⁶ × 10⁻⁵? =
  19. 19.What is the value of 10¹ × 10⁻²? =
  20. 20.What is the value of 3⁷? =
  21. 21.What is the value of 8⁻³ (as a fraction)? =
  22. 22.3.4 × 10² =
  23. 23.4.7 × 10⁷ =
  24. 24.What is the value of (3/4)⁻²? =
  25. 25.Write 4⁷ ÷ 4⁵ as a single power 4ⁿ. What is n?
  26. 26.Write 4¹³ ÷ 4⁴ as a single power 4ⁿ. What is n?
  27. 27.Write 7² × 7⁸ as a single power 7ⁿ. What is n?
  28. 28.What is the value of 6⁵? =
  29. 29.Write 2.4 × 10⁻³ as a decimal. =
  30. 30.Write 96,00,000 in standard form as 9.6 × 10ⁿ. What is n?
  31. 31.Write 9.9 × 10⁻¹ as a decimal. =
  32. 32.What is the value of 2³ × 2⁻¹? =
  33. 33.4.4 × 10² =
  34. 34.Write 7⁶ ÷ 7³ as a single power 7ⁿ. What is n?
  35. 35.Write 7.2 × 10⁻⁴ as a decimal. =
  36. 36.Write 9¹⁰ ÷ 9⁷ as a single power 9ⁿ. What is n?
  37. 37.Write 9,10,000 in standard form as 9.1 × 10ⁿ. What is n?
  38. 38.Write 9.3 × 10⁻³ as a decimal. =
  39. 39.7.2 × 10⁷ =
  40. 40.What is the value of 5⁴ × 5⁻⁴? =

Answer key

  1. 0.00054
  2. 35
  3. 0.00021
  4. 1/49
  5. 8
  6. 8192
  7. 5
  8. 710000
  9. 8
  10. 100
  11. 1/81
  12. 1/27
  13. 0.0023
  14. 1/3
  15. 1/100
  16. 6
  17. 6
  18. 10
  19. 1/10
  20. 2187
  21. 1/512
  22. 340
  23. 47000000
  24. 16/9
  25. 2
  26. 9
  27. 10
  28. 7776
  29. 0.0024
  30. 6
  31. 0.99
  32. 4
  33. 440
  34. 3
  35. 0.00072
  36. 3
  37. 5
  38. 0.0093
  39. 72000000
  40. 1

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