← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 556 · 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 4 × 10⁻² as a decimal. =
  2. 2.What is the value of 3⁷? =
  3. 3.What is the value of 7⁻² (as a fraction)? =
  4. 4.What is the value of 9⁻² (as a fraction)? =
  5. 5.What is the value of 3⁶? =
  6. 6.Write 5¹² ÷ 5⁸ as a single power 5ⁿ. What is n?
  7. 7.8.8 × 10⁶ =
  8. 8.What is the value of 10⁵ × 10⁻⁵? =
  9. 9.What is the value of (3/5)⁻²? =
  10. 10.What is the value of 10⁶ × 10⁻⁴? =
  11. 11.Write 8.8 × 10⁻³ as a decimal. =
  12. 12.Write 4.4 × 10⁻⁴ as a decimal. =
  13. 13.What is the value of 4⁴? =
  14. 14.Write 8⁶ × 8⁶ as a single power 8ⁿ. What is n?
  15. 15.Write (3⁶)⁹ as a single power 3ⁿ. What is n?
  16. 16.Write 82,00,000 in standard form as 8.2 × 10ⁿ. What is n?
  17. 17.What is the value of 3⁴? =
  18. 18.What is the value of 8³? =
  19. 19.What is the value of 5⁻¹ (as a fraction)? =
  20. 20.Write 6.5 × 10⁻³ as a decimal. =
  21. 21.Write (5⁸)⁵ as a single power 5ⁿ. What is n?
  22. 22.Write 8.3 × 10⁻⁴ as a decimal. =
  23. 23.2.3 × 10⁵ =
  24. 24.What is the value of 2⁻⁵ (as a fraction)? =
  25. 25.8.1 × 10⁴ =
  26. 26.Write 9.6 × 10⁻⁴ as a decimal. =
  27. 27.Write 2.5 × 10⁻¹ as a decimal. =
  28. 28.Write (7⁸)⁸ as a single power 7ⁿ. What is n?
  29. 29.What is the value of 3²? =
  30. 30.Write 3¹⁵ ÷ 3⁸ as a single power 3ⁿ. What is n?
  31. 31.What is the value of 5⁴? =
  32. 32.Write (8⁹)² as a single power 8ⁿ. What is n?
  33. 33.Write 5⁹ × 5⁹ as a single power 5ⁿ. What is n?
  34. 34.What is the value of 2¹¹? =
  35. 35.9.8 × 10⁵ =
  36. 36.Write 3.9 × 10⁻³ as a decimal. =
  37. 37.What is the value of 2⁴ × 2⁻²? =
  38. 38.What is the value of 5⁶ × 5⁻³? =
  39. 39.Write 4 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of (7/9)⁻²? =

Answer key

  1. 0.04
  2. 2187
  3. 1/49
  4. 1/81
  5. 729
  6. 4
  7. 8800000
  8. 1
  9. 25/9
  10. 100
  11. 0.0088
  12. 0.00044
  13. 256
  14. 12
  15. 54
  16. 6
  17. 81
  18. 512
  19. 1/5
  20. 0.0065
  21. 40
  22. 0.00083
  23. 230000
  24. 1/32
  25. 81000
  26. 0.00096
  27. 0.25
  28. 64
  29. 9
  30. 7
  31. 625
  32. 18
  33. 18
  34. 2048
  35. 980000
  36. 0.0039
  37. 4
  38. 125
  39. 0.0004
  40. 81/49

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