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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 552 · 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 6.3 × 10⁻¹ as a decimal. =
  2. 2.Write 5.2 × 10⁻⁴ as a decimal. =
  3. 3.Write 7⁸ × 7⁹ as a single power 7ⁿ. What is n?
  4. 4.What is the value of 5³ × 5⁻⁵? =
  5. 5.Write 7.7 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 2¹ × 2⁻⁴? =
  7. 7.Write 6 × 10⁻² as a decimal. =
  8. 8.What is the value of 9⁴? =
  9. 9.What is the value of (3/5)⁻¹? =
  10. 10.Write 7.2 × 10⁻³ as a decimal. =
  11. 11.What is the value of 5¹ × 5⁻⁶? =
  12. 12.What is the value of 5⁻² (as a fraction)? =
  13. 13.Write 6⁷ ÷ 6⁵ as a single power 6ⁿ. What is n?
  14. 14.What is the value of 3⁻² (as a fraction)? =
  15. 15.What is the value of 8⁴? =
  16. 16.What is the value of (3/4)⁻¹? =
  17. 17.What is the value of (3/7)⁻²? =
  18. 18.What is the value of 3⁵? =
  19. 19.What is the value of (1/9)⁻¹? =
  20. 20.What is the value of (2/5)⁻¹? =
  21. 21.What is the value of (3/5)⁻²? =
  22. 22.Write 9.1 × 10⁻² as a decimal. =
  23. 23.What is the value of 2⁹? =
  24. 24.What is the value of 9⁻² (as a fraction)? =
  25. 25.Write 3⁷ × 3⁴ as a single power 3ⁿ. What is n?
  26. 26.What is the value of 8³? =
  27. 27.What is the value of 5⁷? =
  28. 28.Write 2⁷ × 2⁶ as a single power 2ⁿ. What is n?
  29. 29.Write (2⁶)⁴ as a single power 2ⁿ. What is n?
  30. 30.What is the value of 10² × 10⁻¹? =
  31. 31.9.6 × 10⁷ =
  32. 32.Write 9.4 × 10⁻¹ as a decimal. =
  33. 33.What is the value of (5/8)⁻¹? =
  34. 34.What is the value of 4²? =
  35. 35.What is the value of 4³? =
  36. 36.What is the value of 3⁶ × 3⁻³? =
  37. 37.What is the value of 2⁵ × 2⁻²? =
  38. 38.What is the value of 5⁻¹ (as a fraction)? =
  39. 39.What is the value of 2¹¹? =
  40. 40.Write 8⁶ ÷ 8³ as a single power 8ⁿ. What is n?

Answer key

  1. 0.63
  2. 0.00052
  3. 17
  4. 1/25
  5. 0.77
  6. 1/8
  7. 0.06
  8. 6561
  9. 5/3
  10. 0.0072
  11. 1/3125
  12. 1/25
  13. 2
  14. 1/9
  15. 4096
  16. 4/3
  17. 49/9
  18. 243
  19. 9
  20. 5/2
  21. 25/9
  22. 0.091
  23. 512
  24. 1/81
  25. 11
  26. 512
  27. 78125
  28. 13
  29. 24
  30. 10
  31. 96000000
  32. 0.94
  33. 8/5
  34. 16
  35. 64
  36. 27
  37. 8
  38. 1/5
  39. 2048
  40. 3

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