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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 841 · 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 10³? =
  2. 2.Write 4² × 4⁸ as a single power 4ⁿ. What is n?
  3. 3.What is the value of 3⁶ × 3⁻³? =
  4. 4.Write 8¹¹ ÷ 8³ as a single power 8ⁿ. What is n?
  5. 5.Write 3⁸ × 3³ as a single power 3ⁿ. What is n?
  6. 6.Write 79,000 in standard form as 7.9 × 10ⁿ. What is n?
  7. 7.Write 6⁵ × 6⁷ as a single power 6ⁿ. What is n?
  8. 8.Write 2.9 × 10⁻² as a decimal. =
  9. 9.Write 8⁷ × 8⁶ as a single power 8ⁿ. What is n?
  10. 10.What is the value of 4⁻⁴ (as a fraction)? =
  11. 11.Write 2⁶ × 2⁹ as a single power 2ⁿ. What is n?
  12. 12.4.5 × 10³ =
  13. 13.What is the value of 8⁻¹ (as a fraction)? =
  14. 14.Write 1.3 × 10⁻¹ as a decimal. =
  15. 15.Write 2.6 × 10⁻⁴ as a decimal. =
  16. 16.Write 9⁷ × 9³ as a single power 9ⁿ. What is n?
  17. 17.What is the value of 5² × 5⁻²? =
  18. 18.Write (2⁵)⁷ as a single power 2ⁿ. What is n?
  19. 19.What is the value of 10⁴ × 10⁻⁴? =
  20. 20.Write 7¹² ÷ 7⁷ as a single power 7ⁿ. What is n?
  21. 21.Write 2.7 × 10⁻³ as a decimal. =
  22. 22.Write 7⁸ ÷ 7⁴ as a single power 7ⁿ. What is n?
  23. 23.7.6 × 10³ =
  24. 24.Write 6¹⁴ ÷ 6⁸ as a single power 6ⁿ. What is n?
  25. 25.What is the value of (4/9)⁻¹? =
  26. 26.Write (9³)⁹ as a single power 9ⁿ. What is n?
  27. 27.Write 4⁹ × 4⁷ as a single power 4ⁿ. What is n?
  28. 28.8 × 10² =
  29. 29.What is the value of 3⁻² (as a fraction)? =
  30. 30.What is the value of 10⁵? =
  31. 31.What is the value of (3/7)⁻¹? =
  32. 32.8.4 × 10² =
  33. 33.Write (3⁹)⁶ as a single power 3ⁿ. What is n?
  34. 34.What is the value of 7²? =
  35. 35.Write 4⁹ × 4⁵ as a single power 4ⁿ. What is n?
  36. 36.Write 9,60,00,000 in standard form as 9.6 × 10ⁿ. What is n?
  37. 37.Write 2.7 × 10⁻¹ as a decimal. =
  38. 38.9.2 × 10² =
  39. 39.What is the value of 2⁹? =
  40. 40.Write 2⁷ × 2⁸ as a single power 2ⁿ. What is n?

Answer key

  1. 1000
  2. 10
  3. 27
  4. 8
  5. 11
  6. 4
  7. 12
  8. 0.029
  9. 13
  10. 1/256
  11. 15
  12. 4500
  13. 1/8
  14. 0.13
  15. 0.00026
  16. 10
  17. 1
  18. 35
  19. 1
  20. 5
  21. 0.0027
  22. 4
  23. 7600
  24. 6
  25. 9/4
  26. 27
  27. 16
  28. 800
  29. 1/9
  30. 100000
  31. 7/3
  32. 840
  33. 54
  34. 49
  35. 14
  36. 7
  37. 0.27
  38. 920
  39. 512
  40. 15

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