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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 1 · 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 (7/8)⁻¹? =
  2. 2.Write 3.9 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of 3² × 3⁻¹? =
  4. 4.What is the value of 2⁴? =
  5. 5.Write 7⁹ ÷ 7² as a single power 7ⁿ. What is n?
  6. 6.Write 4⁹ × 4⁹ as a single power 4ⁿ. What is n?
  7. 7.7.1 × 10² =
  8. 8.Write 3⁴ × 3² as a single power 3ⁿ. What is n?
  9. 9.What is the value of 8²? =
  10. 10.Write 5.2 × 10⁻¹ as a decimal. =
  11. 11.Write 7³ × 7³ as a single power 7ⁿ. What is n?
  12. 12.Write 6⁵ ÷ 6² as a single power 6ⁿ. What is n?
  13. 13.What is the value of 2³ × 2⁻³? =
  14. 14.6 × 10⁵ =
  15. 15.Write 6⁹ × 6² as a single power 6ⁿ. What is n?
  16. 16.Write 5¹⁵ ÷ 5⁸ as a single power 5ⁿ. What is n?
  17. 17.Write 3⁹ × 3⁸ as a single power 3ⁿ. What is n?
  18. 18.What is the value of 5⁵ × 5⁻²? =
  19. 19.3.4 × 10⁴ =
  20. 20.Write 6.1 × 10⁻¹ as a decimal. =
  21. 21.Write 5 × 10⁻³ as a decimal. =
  22. 22.Write 8¹¹ ÷ 8⁴ as a single power 8ⁿ. What is n?
  23. 23.What is the value of 7⁻³ (as a fraction)? =
  24. 24.What is the value of 2⁶ × 2⁻⁴? =
  25. 25.7.8 × 10⁶ =
  26. 26.What is the value of 3²? =
  27. 27.What is the value of 10⁻¹ (as a fraction)? =
  28. 28.Write 2.7 × 10⁻² as a decimal. =
  29. 29.Write 6¹³ ÷ 6⁸ as a single power 6ⁿ. What is n?
  30. 30.What is the value of 10⁴? =
  31. 31.What is the value of 3⁻⁶ (as a fraction)? =
  32. 32.1.3 × 10⁴ =
  33. 33.5.3 × 10⁵ =
  34. 34.What is the value of 7⁴? =
  35. 35.What is the value of 2⁻³ (as a fraction)? =
  36. 36.What is the value of (1/3)⁻¹? =
  37. 37.Write 8.8 × 10⁻² as a decimal. =
  38. 38.Write 3.4 × 10⁻² as a decimal. =
  39. 39.What is the value of 5³? =
  40. 40.What is the value of 5⁶? =

Answer key

  1. 8/7
  2. 0.00039
  3. 3
  4. 16
  5. 7
  6. 18
  7. 710
  8. 6
  9. 64
  10. 0.52
  11. 6
  12. 3
  13. 1
  14. 600000
  15. 11
  16. 7
  17. 17
  18. 125
  19. 34000
  20. 0.61
  21. 0.005
  22. 7
  23. 1/343
  24. 4
  25. 7800000
  26. 9
  27. 1/10
  28. 0.027
  29. 5
  30. 10000
  31. 1/729
  32. 13000
  33. 530000
  34. 2401
  35. 1/8
  36. 3
  37. 0.088
  38. 0.034
  39. 125
  40. 15625

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