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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 916 · 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 2.5 × 10⁻³ as a decimal. =
  2. 2.Write 31,00,000 in standard form as 3.1 × 10ⁿ. What is n?
  3. 3.What is the value of 3²? =
  4. 4.What is the value of 4³? =
  5. 5.What is the value of 2⁶ × 2⁻⁵? =
  6. 6.What is the value of (1/3)⁻²? =
  7. 7.Write 3⁹ ÷ 3⁵ as a single power 3ⁿ. What is n?
  8. 8.Write 3⁹ × 3² as a single power 3ⁿ. What is n?
  9. 9.What is the value of (2/9)⁻¹? =
  10. 10.7.2 × 10² =
  11. 11.What is the value of 2⁵ × 2⁻²? =
  12. 12.What is the value of 4⁻² (as a fraction)? =
  13. 13.What is the value of 5⁵ × 5⁻⁵? =
  14. 14.3.7 × 10⁵ =
  15. 15.What is the value of (1/7)⁻²? =
  16. 16.What is the value of 2¹ × 2⁻¹? =
  17. 17.Write 4.3 × 10⁻² as a decimal. =
  18. 18.What is the value of 2⁵ × 2⁻³? =
  19. 19.What is the value of 2⁻¹ (as a fraction)? =
  20. 20.Write 4¹² ÷ 4⁵ as a single power 4ⁿ. What is n?
  21. 21.What is the value of 5² × 5⁻⁴? =
  22. 22.Write 7.9 × 10⁻³ as a decimal. =
  23. 23.What is the value of 7⁻¹ (as a fraction)? =
  24. 24.What is the value of (2/3)⁻¹? =
  25. 25.Write 2⁸ ÷ 2⁴ as a single power 2ⁿ. What is n?
  26. 26.What is the value of 7⁵? =
  27. 27.1.3 × 10³ =
  28. 28.Write 8¹³ ÷ 8⁵ as a single power 8ⁿ. What is n?
  29. 29.Write 2⁹ × 2⁵ as a single power 2ⁿ. What is n?
  30. 30.What is the value of 5⁴ × 5⁻¹? =
  31. 31.Write 7,100 in standard form as 7.1 × 10ⁿ. What is n?
  32. 32.What is the value of 4⁵? =
  33. 33.What is the value of 2⁵ × 2⁻⁶? =
  34. 34.What is the value of 10¹ × 10⁻¹? =
  35. 35.Write 1.9 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 2⁶ × 2⁻³? =
  37. 37.Write 5¹⁵ ÷ 5⁸ as a single power 5ⁿ. What is n?
  38. 38.What is the value of 10⁵ × 10⁻²? =
  39. 39.Write 8.8 × 10⁻¹ as a decimal. =
  40. 40.What is the value of (5/8)⁻¹? =

Answer key

  1. 0.0025
  2. 6
  3. 9
  4. 64
  5. 2
  6. 9
  7. 4
  8. 11
  9. 9/2
  10. 720
  11. 8
  12. 1/16
  13. 1
  14. 370000
  15. 49
  16. 1
  17. 0.043
  18. 4
  19. 1/2
  20. 7
  21. 1/25
  22. 0.0079
  23. 1/7
  24. 3/2
  25. 4
  26. 16807
  27. 1300
  28. 8
  29. 14
  30. 125
  31. 3
  32. 1024
  33. 1/2
  34. 1
  35. 0.19
  36. 8
  37. 7
  38. 1000
  39. 0.88
  40. 8/5

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