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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 330 · 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 5³ × 5⁻²? =
  2. 2.What is the value of 10⁵ × 10⁻²? =
  3. 3.What is the value of 2⁶? =
  4. 4.What is the value of 2¹¹? =
  5. 5.Write 2⁴ × 2⁶ as a single power 2ⁿ. What is n?
  6. 6.Write 75,00,000 in standard form as 7.5 × 10ⁿ. What is n?
  7. 7.What is the value of 10⁵ × 10⁻³? =
  8. 8.What is the value of 6³? =
  9. 9.Write 5.5 × 10⁻³ as a decimal. =
  10. 10.Write 880 in standard form as 8.8 × 10ⁿ. What is n?
  11. 11.Write 4.5 × 10⁻¹ as a decimal. =
  12. 12.What is the value of 10⁶ × 10⁻²? =
  13. 13.What is the value of 10⁵? =
  14. 14.What is the value of 6⁻¹ (as a fraction)? =
  15. 15.What is the value of (7/8)⁻²? =
  16. 16.What is the value of 8²? =
  17. 17.Write 37,000 in standard form as 3.7 × 10ⁿ. What is n?
  18. 18.Write 2.6 × 10⁻² as a decimal. =
  19. 19.Write 4³ × 4⁹ as a single power 4ⁿ. What is n?
  20. 20.What is the value of 2⁵ × 2⁻³? =
  21. 21.Write 6⁴ × 6⁵ as a single power 6ⁿ. What is n?
  22. 22.2.5 × 10⁴ =
  23. 23.What is the value of 2⁻⁶ (as a fraction)? =
  24. 24.Write 46,000 in standard form as 4.6 × 10ⁿ. What is n?
  25. 25.Write 5.8 × 10⁻¹ as a decimal. =
  26. 26.Write 9.9 × 10⁻³ as a decimal. =
  27. 27.What is the value of 9²? =
  28. 28.3.9 × 10² =
  29. 29.What is the value of 3³? =
  30. 30.5.5 × 10⁶ =
  31. 31.What is the value of 3² × 3⁻⁵? =
  32. 32.What is the value of (8/9)⁻²? =
  33. 33.Write 3⁵ × 3⁴ as a single power 3ⁿ. What is n?
  34. 34.6 × 10⁶ =
  35. 35.Write 5.7 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 8⁴? =
  37. 37.What is the value of 3⁷? =
  38. 38.What is the value of 2⁶ × 2⁻⁴? =
  39. 39.Write 2.7 × 10⁻² as a decimal. =
  40. 40.What is the value of 2¹ × 2⁻²? =

Answer key

  1. 5
  2. 1000
  3. 64
  4. 2048
  5. 10
  6. 6
  7. 100
  8. 216
  9. 0.0055
  10. 2
  11. 0.45
  12. 10000
  13. 100000
  14. 1/6
  15. 64/49
  16. 64
  17. 4
  18. 0.026
  19. 12
  20. 4
  21. 9
  22. 25000
  23. 1/64
  24. 4
  25. 0.58
  26. 0.0099
  27. 81
  28. 390
  29. 27
  30. 5500000
  31. 1/27
  32. 81/64
  33. 9
  34. 6000000
  35. 0.57
  36. 4096
  37. 2187
  38. 4
  39. 0.027
  40. 1/2

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