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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 851 · 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.What is the value of 2¹¹? =
  2. 2.What is the value of (1/7)⁻²? =
  3. 3.Write (7⁴)² as a single power 7ⁿ. What is n?
  4. 4.What is the value of 2⁵ × 2⁻⁴? =
  5. 5.What is the value of 5⁷? =
  6. 6.What is the value of 7⁵? =
  7. 7.What is the value of (2/5)⁻²? =
  8. 8.Write 5,40,00,000 in standard form as 5.4 × 10ⁿ. What is n?
  9. 9.Write 5 × 10⁻² as a decimal. =
  10. 10.Write 6.7 × 10⁻² as a decimal. =
  11. 11.Write 83,00,000 in standard form as 8.3 × 10ⁿ. What is n?
  12. 12.2.8 × 10⁶ =
  13. 13.Write (7⁸)⁸ as a single power 7ⁿ. What is n?
  14. 14.What is the value of 3² × 3⁻⁴? =
  15. 15.What is the value of 2⁶ × 2⁻¹? =
  16. 16.Write 6¹⁵ ÷ 6⁸ as a single power 6ⁿ. What is n?
  17. 17.What is the value of 2² × 2⁻⁶? =
  18. 18.What is the value of (4/5)⁻²? =
  19. 19.What is the value of 3²? =
  20. 20.4.2 × 10⁵ =
  21. 21.Write 3.4 × 10⁻¹ as a decimal. =
  22. 22.Write (9⁵)⁶ as a single power 9ⁿ. What is n?
  23. 23.Write 6.1 × 10⁻² as a decimal. =
  24. 24.What is the value of 3³? =
  25. 25.Write 3.2 × 10⁻³ as a decimal. =
  26. 26.Write 1,100 in standard form as 1.1 × 10ⁿ. What is n?
  27. 27.What is the value of 10⁵ × 10⁻³? =
  28. 28.Write (9⁶)⁵ as a single power 9ⁿ. What is n?
  29. 29.Write 8 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 5²? =
  31. 31.What is the value of 3¹ × 3⁻¹? =
  32. 32.What is the value of 5¹ × 5⁻⁴? =
  33. 33.What is the value of 8³? =
  34. 34.Write 2¹⁰ ÷ 2⁷ as a single power 2ⁿ. What is n?
  35. 35.What is the value of 2⁴ × 2⁻⁵? =
  36. 36.Write 8⁹ × 8² as a single power 8ⁿ. What is n?
  37. 37.Write 2⁸ × 2³ as a single power 2ⁿ. What is n?
  38. 38.What is the value of 9²? =
  39. 39.Write (3⁸)² as a single power 3ⁿ. What is n?
  40. 40.Write 6.6 × 10⁻⁴ as a decimal. =

Answer key

  1. 2048
  2. 49
  3. 8
  4. 2
  5. 78125
  6. 16807
  7. 25/4
  8. 7
  9. 0.05
  10. 0.067
  11. 6
  12. 2800000
  13. 64
  14. 1/9
  15. 32
  16. 7
  17. 1/16
  18. 25/16
  19. 9
  20. 420000
  21. 0.34
  22. 30
  23. 0.061
  24. 27
  25. 0.0032
  26. 3
  27. 100
  28. 30
  29. 0.8
  30. 25
  31. 1
  32. 1/125
  33. 512
  34. 3
  35. 1/2
  36. 11
  37. 11
  38. 81
  39. 16
  40. 0.00066

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