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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 891 · 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 4⁵? =
  2. 2.Write 3⁷ × 3² as a single power 3ⁿ. What is n?
  3. 3.What is the value of 2³ × 2⁻²? =
  4. 4.Write 1.4 × 10⁻⁴ as a decimal. =
  5. 5.Write 9.3 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 3⁵ × 3⁻⁵? =
  7. 7.Write 2.8 × 10⁻³ as a decimal. =
  8. 8.Write 2.2 × 10⁻¹ as a decimal. =
  9. 9.Write 9¹² ÷ 9⁶ as a single power 9ⁿ. What is n?
  10. 10.Write 6⁹ × 6⁴ as a single power 6ⁿ. What is n?
  11. 11.4.5 × 10⁷ =
  12. 12.What is the value of 2⁴ × 2⁻²? =
  13. 13.What is the value of 3⁻³ (as a fraction)? =
  14. 14.What is the value of 2⁻² (as a fraction)? =
  15. 15.What is the value of 7⁻² (as a fraction)? =
  16. 16.Write 73,00,000 in standard form as 7.3 × 10ⁿ. What is n?
  17. 17.Write (4⁵)⁷ as a single power 4ⁿ. What is n?
  18. 18.What is the value of 3⁵ × 3⁻³? =
  19. 19.What is the value of (5/8)⁻¹? =
  20. 20.What is the value of (6/7)⁻²? =
  21. 21.Write 1.6 × 10⁻² as a decimal. =
  22. 22.Write 3,700 in standard form as 3.7 × 10ⁿ. What is n?
  23. 23.What is the value of 9²? =
  24. 24.What is the value of 3²? =
  25. 25.What is the value of 3⁴? =
  26. 26.What is the value of 3³ × 3⁻¹? =
  27. 27.8.5 × 10⁶ =
  28. 28.Write 5.9 × 10⁻¹ as a decimal. =
  29. 29.Write 7.1 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 6⁻¹ (as a fraction)? =
  31. 31.7.7 × 10⁶ =
  32. 32.What is the value of 2⁴? =
  33. 33.What is the value of 7²? =
  34. 34.Write 9.9 × 10⁻⁴ as a decimal. =
  35. 35.Write (4⁴)⁹ as a single power 4ⁿ. What is n?
  36. 36.What is the value of 2⁴ × 2⁻⁶? =
  37. 37.Write (3⁸)⁶ as a single power 3ⁿ. What is n?
  38. 38.Write 7,70,00,000 in standard form as 7.7 × 10ⁿ. What is n?
  39. 39.What is the value of 5⁶ × 5⁻⁴? =
  40. 40.What is the value of (2/9)⁻¹? =

Answer key

  1. 1024
  2. 9
  3. 2
  4. 0.00014
  5. 0.00093
  6. 1
  7. 0.0028
  8. 0.22
  9. 6
  10. 13
  11. 45000000
  12. 4
  13. 1/27
  14. 1/4
  15. 1/49
  16. 6
  17. 35
  18. 9
  19. 8/5
  20. 49/36
  21. 0.016
  22. 3
  23. 81
  24. 9
  25. 81
  26. 9
  27. 8500000
  28. 0.59
  29. 0.71
  30. 1/6
  31. 7700000
  32. 16
  33. 49
  34. 0.00099
  35. 36
  36. 1/4
  37. 48
  38. 7
  39. 25
  40. 9/2

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