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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 11 · 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.What is the value of 3³ × 3⁻⁶? =
  2. 2.1.3 × 10² =
  3. 3.Write 7¹⁰ ÷ 7² as a single power 7ⁿ. What is n?
  4. 4.What is the value of (4/7)⁻²? =
  5. 5.6.8 × 10² =
  6. 6.Write (2³)⁷ as a single power 2ⁿ. What is n?
  7. 7.What is the value of (6/7)⁻²? =
  8. 8.What is the value of 8⁻³ (as a fraction)? =
  9. 9.What is the value of 2⁻⁴ (as a fraction)? =
  10. 10.Write 24,00,000 in standard form as 2.4 × 10ⁿ. What is n?
  11. 11.Write 9.4 × 10⁻⁴ as a decimal. =
  12. 12.Write 8⁵ ÷ 8³ as a single power 8ⁿ. What is n?
  13. 13.What is the value of (2/3)⁻¹? =
  14. 14.What is the value of 6⁵? =
  15. 15.What is the value of 2¹²? =
  16. 16.What is the value of 2²? =
  17. 17.Write 3¹⁵ ÷ 3⁸ as a single power 3ⁿ. What is n?
  18. 18.What is the value of 3⁶? =
  19. 19.Write 22,00,000 in standard form as 2.2 × 10ⁿ. What is n?
  20. 20.What is the value of (3/8)⁻¹? =
  21. 21.Write 6,600 in standard form as 6.6 × 10ⁿ. What is n?
  22. 22.What is the value of 8³? =
  23. 23.What is the value of 8⁴? =
  24. 24.What is the value of 4⁶? =
  25. 25.Write 520 in standard form as 5.2 × 10ⁿ. What is n?
  26. 26.6 × 10⁴ =
  27. 27.Write 7.7 × 10⁻¹ as a decimal. =
  28. 28.What is the value of 4⁻⁴ (as a fraction)? =
  29. 29.Write 8⁴ × 8⁸ as a single power 8ⁿ. What is n?
  30. 30.Write 9.9 × 10⁻² as a decimal. =
  31. 31.Write 820 in standard form as 8.2 × 10ⁿ. What is n?
  32. 32.Write 4.9 × 10⁻² as a decimal. =
  33. 33.What is the value of 3²? =
  34. 34.What is the value of 2⁹? =
  35. 35.Write 9¹¹ ÷ 9⁹ as a single power 9ⁿ. What is n?
  36. 36.What is the value of 2¹ × 2⁻⁴? =
  37. 37.Write 8.8 × 10⁻³ as a decimal. =
  38. 38.What is the value of 4⁵? =
  39. 39.Write 9,100 in standard form as 9.1 × 10ⁿ. What is n?
  40. 40.Write 9⁸ × 9⁷ as a single power 9ⁿ. What is n?

Answer key

  1. 1/27
  2. 130
  3. 8
  4. 49/16
  5. 680
  6. 21
  7. 49/36
  8. 1/512
  9. 1/16
  10. 6
  11. 0.00094
  12. 2
  13. 3/2
  14. 7776
  15. 4096
  16. 4
  17. 7
  18. 729
  19. 6
  20. 8/3
  21. 3
  22. 512
  23. 4096
  24. 4096
  25. 2
  26. 60000
  27. 0.77
  28. 1/256
  29. 12
  30. 0.099
  31. 2
  32. 0.049
  33. 9
  34. 512
  35. 2
  36. 1/8
  37. 0.0088
  38. 1024
  39. 3
  40. 15

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