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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 926 · 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 54,00,000 in standard form as 5.4 × 10ⁿ. What is n?
  2. 2.What is the value of 3⁶ × 3⁻²? =
  3. 3.What is the value of 3⁻⁶ (as a fraction)? =
  4. 4.What is the value of 10²? =
  5. 5.Write 8.9 × 10⁻⁴ as a decimal. =
  6. 6.4.1 × 10⁷ =
  7. 7.Write 3.7 × 10⁻¹ as a decimal. =
  8. 8.What is the value of 10² × 10⁻⁵? =
  9. 9.What is the value of (2/5)⁻²? =
  10. 10.What is the value of 5³ × 5⁻²? =
  11. 11.Write 3³ × 3² as a single power 3ⁿ. What is n?
  12. 12.What is the value of 10² × 10⁻³? =
  13. 13.What is the value of 3² × 3⁻⁵? =
  14. 14.Write (5⁹)⁵ as a single power 5ⁿ. What is n?
  15. 15.What is the value of 8⁻³ (as a fraction)? =
  16. 16.Write 6⁷ × 6² as a single power 6ⁿ. What is n?
  17. 17.Write 9.7 × 10⁻³ as a decimal. =
  18. 18.What is the value of 2³ × 2⁻³? =
  19. 19.What is the value of 9²? =
  20. 20.Write 9⁶ ÷ 9² as a single power 9ⁿ. What is n?
  21. 21.What is the value of 4²? =
  22. 22.Write 5⁸ ÷ 5² as a single power 5ⁿ. What is n?
  23. 23.Write 5.8 × 10⁻¹ as a decimal. =
  24. 24.What is the value of 10⁴? =
  25. 25.What is the value of 3² × 3⁻⁴? =
  26. 26.What is the value of 5³ × 5⁻⁴? =
  27. 27.What is the value of 2¹⁰? =
  28. 28.Write 4.4 × 10⁻⁴ as a decimal. =
  29. 29.What is the value of (1/9)⁻¹? =
  30. 30.What is the value of 8²? =
  31. 31.What is the value of 2⁻⁷ (as a fraction)? =
  32. 32.8 × 10² =
  33. 33.3.7 × 10⁵ =
  34. 34.What is the value of 3⁻³ (as a fraction)? =
  35. 35.What is the value of (3/8)⁻²? =
  36. 36.Write 4,600 in standard form as 4.6 × 10ⁿ. What is n?
  37. 37.What is the value of 7²? =
  38. 38.What is the value of (5/9)⁻¹? =
  39. 39.What is the value of (3/5)⁻²? =
  40. 40.Write 1.1 × 10⁻⁴ as a decimal. =

Answer key

  1. 6
  2. 81
  3. 1/729
  4. 100
  5. 0.00089
  6. 41000000
  7. 0.37
  8. 1/1000
  9. 25/4
  10. 5
  11. 5
  12. 1/10
  13. 1/27
  14. 45
  15. 1/512
  16. 9
  17. 0.0097
  18. 1
  19. 81
  20. 4
  21. 16
  22. 6
  23. 0.58
  24. 10000
  25. 1/9
  26. 1/5
  27. 1024
  28. 0.00044
  29. 9
  30. 64
  31. 1/128
  32. 800
  33. 370000
  34. 1/27
  35. 64/9
  36. 3
  37. 49
  38. 9/5
  39. 25/9
  40. 0.00011

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