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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 168 · 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 10⁴ × 10⁻²? =
  2. 2.Write 2.7 × 10⁻² as a decimal. =
  3. 3.What is the value of 5³? =
  4. 4.Write 39,00,000 in standard form as 3.9 × 10ⁿ. What is n?
  5. 5.Write 6.6 × 10⁻³ as a decimal. =
  6. 6.What is the value of 10²? =
  7. 7.3 × 10³ =
  8. 8.What is the value of 2⁹? =
  9. 9.What is the value of 3³ × 3⁻⁵? =
  10. 10.What is the value of 2⁻⁴ (as a fraction)? =
  11. 11.What is the value of 8⁻³ (as a fraction)? =
  12. 12.Write 6⁶ × 6³ as a single power 6ⁿ. What is n?
  13. 13.What is the value of 10⁵ × 10⁻³? =
  14. 14.Write 23,00,000 in standard form as 2.3 × 10ⁿ. What is n?
  15. 15.What is the value of 8⁵? =
  16. 16.What is the value of 10² × 10⁻⁶? =
  17. 17.What is the value of 9⁵? =
  18. 18.What is the value of 10⁻³ (as a fraction)? =
  19. 19.What is the value of 3⁵? =
  20. 20.What is the value of 5⁴? =
  21. 21.Write 4.6 × 10⁻³ as a decimal. =
  22. 22.What is the value of 4⁶? =
  23. 23.Write 3.2 × 10⁻¹ as a decimal. =
  24. 24.Write 8¹⁰ ÷ 8⁶ as a single power 8ⁿ. What is n?
  25. 25.Write 2.4 × 10⁻² as a decimal. =
  26. 26.What is the value of 2² × 2⁻³? =
  27. 27.Write 9⁷ × 9² as a single power 9ⁿ. What is n?
  28. 28.Write 2.3 × 10⁻⁴ as a decimal. =
  29. 29.What is the value of 10³? =
  30. 30.What is the value of 2⁻⁶ (as a fraction)? =
  31. 31.Write 2¹⁷ ÷ 2⁹ as a single power 2ⁿ. What is n?
  32. 32.4.6 × 10² =
  33. 33.What is the value of (6/7)⁻¹? =
  34. 34.Write (7⁹)⁶ as a single power 7ⁿ. What is n?
  35. 35.What is the value of 5⁻⁴ (as a fraction)? =
  36. 36.What is the value of 3⁶? =
  37. 37.Write 1.8 × 10⁻² as a decimal. =
  38. 38.What is the value of (1/5)⁻²? =
  39. 39.What is the value of 10⁵? =
  40. 40.What is the value of 2¹¹? =

Answer key

  1. 100
  2. 0.027
  3. 125
  4. 6
  5. 0.0066
  6. 100
  7. 3000
  8. 512
  9. 1/9
  10. 1/16
  11. 1/512
  12. 9
  13. 100
  14. 6
  15. 32768
  16. 1/10000
  17. 59049
  18. 1/1000
  19. 243
  20. 625
  21. 0.0046
  22. 4096
  23. 0.32
  24. 4
  25. 0.024
  26. 1/2
  27. 9
  28. 0.00023
  29. 1000
  30. 1/64
  31. 8
  32. 460
  33. 7/6
  34. 54
  35. 1/625
  36. 729
  37. 0.018
  38. 25
  39. 100000
  40. 2048

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