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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 310 · 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. 1.3.3 × 10⁵ =
  2. 2.Write 7⁵ × 7⁴ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 5³ × 5⁻³? =
  4. 4.What is the value of 3³ × 3⁻⁵? =
  5. 5.What is the value of (1/5)⁻¹? =
  6. 6.Write 9,80,000 in standard form as 9.8 × 10ⁿ. What is n?
  7. 7.Write 2.3 × 10⁻⁴ as a decimal. =
  8. 8.What is the value of 7²? =
  9. 9.What is the value of 6⁻³ (as a fraction)? =
  10. 10.Write (9⁶)⁹ as a single power 9ⁿ. What is n?
  11. 11.Write 6¹⁵ ÷ 6⁹ as a single power 6ⁿ. What is n?
  12. 12.Write (4⁴)² as a single power 4ⁿ. What is n?
  13. 13.Write 3¹⁵ ÷ 3⁶ as a single power 3ⁿ. What is n?
  14. 14.Write 9 × 10⁻⁴ as a decimal. =
  15. 15.Write 3⁸ × 3⁴ as a single power 3ⁿ. What is n?
  16. 16.What is the value of 3⁻² (as a fraction)? =
  17. 17.Write 9⁸ ÷ 9⁶ as a single power 9ⁿ. What is n?
  18. 18.What is the value of 10⁴ × 10⁻¹? =
  19. 19.Write 3¹⁰ ÷ 3⁸ as a single power 3ⁿ. What is n?
  20. 20.1.5 × 10⁴ =
  21. 21.Write (3⁴)⁴ as a single power 3ⁿ. What is n?
  22. 22.Write 6¹⁰ ÷ 6⁴ as a single power 6ⁿ. What is n?
  23. 23.What is the value of 2¹⁶? =
  24. 24.What is the value of 5⁶ × 5⁻⁵? =
  25. 25.What is the value of 5³ × 5⁻⁴? =
  26. 26.Write 8¹⁵ ÷ 8⁹ as a single power 8ⁿ. What is n?
  27. 27.9.9 × 10² =
  28. 28.Write 2¹¹ ÷ 2² as a single power 2ⁿ. What is n?
  29. 29.Write 73,000 in standard form as 7.3 × 10ⁿ. What is n?
  30. 30.What is the value of 9⁵? =
  31. 31.What is the value of 10¹ × 10⁻⁴? =
  32. 32.What is the value of 3⁻⁶ (as a fraction)? =
  33. 33.What is the value of 4²? =
  34. 34.What is the value of 2⁻³ (as a fraction)? =
  35. 35.4.2 × 10⁵ =
  36. 36.Write 2,40,000 in standard form as 2.4 × 10ⁿ. What is n?
  37. 37.What is the value of 10⁴? =
  38. 38.What is the value of 10¹ × 10⁻³? =
  39. 39.Write 7 × 10⁻¹ as a decimal. =
  40. 40.Write 2⁸ ÷ 2³ as a single power 2ⁿ. What is n?

Answer key

  1. 330000
  2. 9
  3. 1
  4. 1/9
  5. 5
  6. 5
  7. 0.00023
  8. 49
  9. 1/216
  10. 54
  11. 6
  12. 8
  13. 9
  14. 0.0009
  15. 12
  16. 1/9
  17. 2
  18. 1000
  19. 2
  20. 15000
  21. 16
  22. 6
  23. 65536
  24. 5
  25. 1/5
  26. 6
  27. 990
  28. 9
  29. 4
  30. 59049
  31. 1/1000
  32. 1/729
  33. 16
  34. 1/8
  35. 420000
  36. 5
  37. 10000
  38. 1/100
  39. 0.7
  40. 5

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