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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 765 · 40 sums
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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 4¹⁰ ÷ 4⁶ as a single power 4ⁿ. What is n?
  2. 2.What is the value of 5⁶ × 5⁻¹? =
  3. 3.Write 6² × 6⁶ as a single power 6ⁿ. What is n?
  4. 4.Write 2.3 × 10⁻⁴ as a decimal. =
  5. 5.What is the value of 4³? =
  6. 6.What is the value of 3²? =
  7. 7.What is the value of 10² × 10⁻³? =
  8. 8.Write 9⁹ × 9⁸ as a single power 9ⁿ. What is n?
  9. 9.Write 8⁶ × 8⁴ as a single power 8ⁿ. What is n?
  10. 10.Write (4⁸)⁷ as a single power 4ⁿ. What is n?
  11. 11.What is the value of 7²? =
  12. 12.Write 9,70,000 in standard form as 9.7 × 10ⁿ. What is n?
  13. 13.Write 3⁴ × 3⁶ as a single power 3ⁿ. What is n?
  14. 14.What is the value of 10⁻¹ (as a fraction)? =
  15. 15.What is the value of 3⁶? =
  16. 16.What is the value of (1/4)⁻¹? =
  17. 17.What is the value of 3² × 3⁻⁴? =
  18. 18.What is the value of (5/8)⁻¹? =
  19. 19.Write 9⁵ × 9⁹ as a single power 9ⁿ. What is n?
  20. 20.What is the value of 4⁻² (as a fraction)? =
  21. 21.Write 5¹⁰ ÷ 5⁵ as a single power 5ⁿ. What is n?
  22. 22.6.3 × 10⁶ =
  23. 23.What is the value of 2⁻⁵ (as a fraction)? =
  24. 24.Write 2.8 × 10⁻¹ as a decimal. =
  25. 25.Write 8.8 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of 5² × 5⁻⁵? =
  27. 27.What is the value of 5⁶? =
  28. 28.Write 3,90,00,000 in standard form as 3.9 × 10ⁿ. What is n?
  29. 29.What is the value of 2⁶ × 2⁻²? =
  30. 30.Write 4.5 × 10⁻² as a decimal. =
  31. 31.What is the value of 2¹⁵? =
  32. 32.What is the value of 2¹⁶? =
  33. 33.What is the value of 9⁴? =
  34. 34.Write 9⁶ × 9⁶ as a single power 9ⁿ. What is n?
  35. 35.Write 7.3 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 10⁻² (as a fraction)? =
  37. 37.What is the value of 5⁵? =
  38. 38.Write 9.9 × 10⁻³ as a decimal. =
  39. 39.Write 4.3 × 10⁻⁴ as a decimal. =
  40. 40.5 × 10⁴ =

Answer key

  1. 4
  2. 3125
  3. 8
  4. 0.00023
  5. 64
  6. 9
  7. 1/10
  8. 17
  9. 10
  10. 56
  11. 49
  12. 5
  13. 10
  14. 1/10
  15. 729
  16. 4
  17. 1/9
  18. 8/5
  19. 14
  20. 1/16
  21. 5
  22. 6300000
  23. 1/32
  24. 0.28
  25. 0.00088
  26. 1/125
  27. 15625
  28. 7
  29. 16
  30. 0.045
  31. 32768
  32. 65536
  33. 6561
  34. 12
  35. 0.73
  36. 1/100
  37. 3125
  38. 0.0099
  39. 0.00043
  40. 50000

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