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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 733 · 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? =
  2. 2.What is the value of 5² × 5⁻²? =
  3. 3.What is the value of 8⁻³ (as a fraction)? =
  4. 4.Write 3¹⁵ ÷ 3⁸ as a single power 3ⁿ. What is n?
  5. 5.Write 3.2 × 10⁻⁴ as a decimal. =
  6. 6.Write 7.5 × 10⁻¹ as a decimal. =
  7. 7.Write 6³ × 6⁴ as a single power 6ⁿ. What is n?
  8. 8.9 × 10² =
  9. 9.6.5 × 10⁶ =
  10. 10.Write 3⁵ × 3³ as a single power 3ⁿ. What is n?
  11. 11.5 × 10⁵ =
  12. 12.What is the value of 8⁻¹ (as a fraction)? =
  13. 13.Write 5.3 × 10⁻³ as a decimal. =
  14. 14.Write 3³ × 3² as a single power 3ⁿ. What is n?
  15. 15.What is the value of 10²? =
  16. 16.Write 5³ × 5⁴ as a single power 5ⁿ. What is n?
  17. 17.Write 7⁸ × 7⁸ as a single power 7ⁿ. What is n?
  18. 18.Write (2⁸)⁴ as a single power 2ⁿ. What is n?
  19. 19.What is the value of 2³ × 2⁻⁶? =
  20. 20.What is the value of 6⁶? =
  21. 21.Write 3.2 × 10⁻² as a decimal. =
  22. 22.What is the value of 2² × 2⁻²? =
  23. 23.3.3 × 10³ =
  24. 24.What is the value of 3⁻² (as a fraction)? =
  25. 25.What is the value of 10⁵ × 10⁻¹? =
  26. 26.Write 8.9 × 10⁻³ as a decimal. =
  27. 27.What is the value of 5¹ × 5⁻³? =
  28. 28.Write 27,00,000 in standard form as 2.7 × 10ⁿ. What is n?
  29. 29.What is the value of 4⁻³ (as a fraction)? =
  30. 30.What is the value of 7²? =
  31. 31.What is the value of 10³ × 10⁻⁶? =
  32. 32.What is the value of 3⁶? =
  33. 33.Write 7.7 × 10⁻¹ as a decimal. =
  34. 34.What is the value of 8²? =
  35. 35.What is the value of 3¹ × 3⁻⁴? =
  36. 36.What is the value of 3⁶ × 3⁻¹? =
  37. 37.What is the value of 10¹ × 10⁻⁴? =
  38. 38.Write 1.3 × 10⁻² as a decimal. =
  39. 39.What is the value of 5²? =
  40. 40.Write 5³ × 5⁵ as a single power 5ⁿ. What is n?

Answer key

  1. 27
  2. 1
  3. 1/512
  4. 7
  5. 0.00032
  6. 0.75
  7. 7
  8. 900
  9. 6500000
  10. 8
  11. 500000
  12. 1/8
  13. 0.0053
  14. 5
  15. 100
  16. 7
  17. 16
  18. 32
  19. 1/8
  20. 46656
  21. 0.032
  22. 1
  23. 3300
  24. 1/9
  25. 10000
  26. 0.0089
  27. 1/25
  28. 6
  29. 1/64
  30. 49
  31. 1/1000
  32. 729
  33. 0.77
  34. 64
  35. 1/27
  36. 243
  37. 1/1000
  38. 0.013
  39. 25
  40. 8

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