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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 779 · 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.Write (7⁶)⁴ as a single power 7ⁿ. What is n?
  2. 2.What is the value of 3² × 3⁻³? =
  3. 3.What is the value of 3³ × 3⁻⁵? =
  4. 4.What is the value of (7/9)⁻²? =
  5. 5.Write 5¹¹ ÷ 5⁹ as a single power 5ⁿ. What is n?
  6. 6.What is the value of 2²? =
  7. 7.Write 1.2 × 10⁻³ as a decimal. =
  8. 8.3.9 × 10² =
  9. 9.What is the value of 2⁻⁷ (as a fraction)? =
  10. 10.Write 4⁹ × 4² as a single power 4ⁿ. What is n?
  11. 11.What is the value of 10²? =
  12. 12.Write 8⁵ × 8⁴ as a single power 8ⁿ. What is n?
  13. 13.Write 9.1 × 10⁻⁴ as a decimal. =
  14. 14.Write 6.6 × 10⁻³ as a decimal. =
  15. 15.What is the value of (3/5)⁻¹? =
  16. 16.What is the value of 10⁻³ (as a fraction)? =
  17. 17.Write 2⁷ × 2² as a single power 2ⁿ. What is n?
  18. 18.What is the value of 2⁵? =
  19. 19.What is the value of 10⁶ × 10⁻⁴? =
  20. 20.Write 7⁹ ÷ 7⁷ as a single power 7ⁿ. What is n?
  21. 21.What is the value of 3¹⁰? =
  22. 22.What is the value of 2⁹? =
  23. 23.Write 7¹⁶ ÷ 7⁸ as a single power 7ⁿ. What is n?
  24. 24.What is the value of 8³? =
  25. 25.Write 8⁸ ÷ 8³ as a single power 8ⁿ. What is n?
  26. 26.Write (3⁷)⁴ as a single power 3ⁿ. What is n?
  27. 27.What is the value of 6⁻¹ (as a fraction)? =
  28. 28.Write 2,600 in standard form as 2.6 × 10ⁿ. What is n?
  29. 29.Write 5⁷ ÷ 5⁴ as a single power 5ⁿ. What is n?
  30. 30.Write 4.6 × 10⁻² as a decimal. =
  31. 31.Write 5⁷ × 5⁸ as a single power 5ⁿ. What is n?
  32. 32.What is the value of 2³ × 2⁻³? =
  33. 33.Write 1.1 × 10⁻¹ as a decimal. =
  34. 34.3.9 × 10⁴ =
  35. 35.What is the value of (3/8)⁻¹? =
  36. 36.What is the value of 8⁵? =
  37. 37.What is the value of 4²? =
  38. 38.What is the value of 3⁶ × 3⁻¹? =
  39. 39.Write 8 × 10⁻¹ as a decimal. =
  40. 40.Write 8⁷ × 8³ as a single power 8ⁿ. What is n?

Answer key

  1. 24
  2. 1/3
  3. 1/9
  4. 81/49
  5. 2
  6. 4
  7. 0.0012
  8. 390
  9. 1/128
  10. 11
  11. 100
  12. 9
  13. 0.00091
  14. 0.0066
  15. 5/3
  16. 1/1000
  17. 9
  18. 32
  19. 100
  20. 2
  21. 59049
  22. 512
  23. 8
  24. 512
  25. 5
  26. 28
  27. 1/6
  28. 3
  29. 3
  30. 0.046
  31. 15
  32. 1
  33. 0.11
  34. 39000
  35. 8/3
  36. 32768
  37. 16
  38. 243
  39. 0.8
  40. 10

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