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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 475 · 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.What is the value of 10² × 10⁻⁵? =
  2. 2.Write 9.2 × 10⁻² as a decimal. =
  3. 3.Write 7.8 × 10⁻¹ as a decimal. =
  4. 4.7.9 × 10² =
  5. 5.Write (2⁷)⁶ as a single power 2ⁿ. What is n?
  6. 6.What is the value of 2⁴ × 2⁻²? =
  7. 7.Write 7.9 × 10⁻² as a decimal. =
  8. 8.Write 4² × 4⁶ as a single power 4ⁿ. What is n?
  9. 9.What is the value of 2¹¹? =
  10. 10.What is the value of 2² × 2⁻¹? =
  11. 11.What is the value of 5⁶ × 5⁻²? =
  12. 12.What is the value of 10⁶ × 10⁻⁵? =
  13. 13.What is the value of 2⁶ × 2⁻²? =
  14. 14.What is the value of 6⁻¹ (as a fraction)? =
  15. 15.What is the value of 5⁵ × 5⁻⁵? =
  16. 16.What is the value of 10⁴? =
  17. 17.What is the value of 4⁸? =
  18. 18.What is the value of 2¹⁰? =
  19. 19.Write 280 in standard form as 2.8 × 10ⁿ. What is n?
  20. 20.What is the value of 10² × 10⁻¹? =
  21. 21.4.3 × 10⁵ =
  22. 22.Write 3,20,000 in standard form as 3.2 × 10ⁿ. What is n?
  23. 23.What is the value of 10⁵ × 10⁻⁵? =
  24. 24.5.3 × 10³ =
  25. 25.Write (8⁸)² as a single power 8ⁿ. What is n?
  26. 26.Write 6⁶ × 6⁸ as a single power 6ⁿ. What is n?
  27. 27.Write 4⁹ × 4² as a single power 4ⁿ. What is n?
  28. 28.What is the value of 8⁵? =
  29. 29.What is the value of (3/5)⁻²? =
  30. 30.Write 5⁴ × 5³ as a single power 5ⁿ. What is n?
  31. 31.What is the value of 2²? =
  32. 32.What is the value of 3⁻⁶ (as a fraction)? =
  33. 33.Write 7 × 10⁻² as a decimal. =
  34. 34.Write 27,00,000 in standard form as 2.7 × 10ⁿ. What is n?
  35. 35.Write 9,800 in standard form as 9.8 × 10ⁿ. What is n?
  36. 36.Write 7.8 × 10⁻³ as a decimal. =
  37. 37.Write 4.6 × 10⁻¹ as a decimal. =
  38. 38.What is the value of 2⁻⁷ (as a fraction)? =
  39. 39.Write 2.7 × 10⁻³ as a decimal. =
  40. 40.3.3 × 10⁴ =

Answer key

  1. 1/1000
  2. 0.092
  3. 0.78
  4. 790
  5. 42
  6. 4
  7. 0.079
  8. 8
  9. 2048
  10. 2
  11. 625
  12. 10
  13. 16
  14. 1/6
  15. 1
  16. 10000
  17. 65536
  18. 1024
  19. 2
  20. 10
  21. 430000
  22. 5
  23. 1
  24. 5300
  25. 16
  26. 14
  27. 11
  28. 32768
  29. 25/9
  30. 7
  31. 4
  32. 1/729
  33. 0.07
  34. 6
  35. 3
  36. 0.0078
  37. 0.46
  38. 1/128
  39. 0.0027
  40. 33000

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