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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 382 · 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. 1.7.9 × 10⁵ =
  2. 2.Write 4.6 × 10⁻³ as a decimal. =
  3. 3.What is the value of (3/4)⁻¹? =
  4. 4.Write 8⁴ × 8⁶ as a single power 8ⁿ. What is n?
  5. 5.Write (6⁸)⁷ as a single power 6ⁿ. What is n?
  6. 6.What is the value of 2⁵ × 2⁻¹? =
  7. 7.What is the value of 2⁴? =
  8. 8.What is the value of 3⁵ × 3⁻⁴? =
  9. 9.Write 9.2 × 10⁻⁴ as a decimal. =
  10. 10.Write (6⁶)⁶ as a single power 6ⁿ. What is n?
  11. 11.What is the value of 5⁴ × 5⁻¹? =
  12. 12.9.2 × 10⁶ =
  13. 13.Write 5.9 × 10⁻⁴ as a decimal. =
  14. 14.Write 8¹⁰ ÷ 8³ as a single power 8ⁿ. What is n?
  15. 15.What is the value of 3⁷? =
  16. 16.What is the value of 3⁴ × 3⁻³? =
  17. 17.Write (8⁶)³ as a single power 8ⁿ. What is n?
  18. 18.What is the value of 5² × 5⁻⁵? =
  19. 19.Write 7,400 in standard form as 7.4 × 10ⁿ. What is n?
  20. 20.What is the value of (1/3)⁻¹? =
  21. 21.Write 6.4 × 10⁻³ as a decimal. =
  22. 22.Write 7¹⁵ ÷ 7⁹ as a single power 7ⁿ. What is n?
  23. 23.What is the value of 2⁶ × 2⁻⁶? =
  24. 24.What is the value of 5⁻⁴ (as a fraction)? =
  25. 25.Write 5⁶ × 5³ as a single power 5ⁿ. What is n?
  26. 26.Write 6⁵ × 6⁷ as a single power 6ⁿ. What is n?
  27. 27.Write 3⁵ × 3⁷ as a single power 3ⁿ. What is n?
  28. 28.What is the value of 6⁴? =
  29. 29.Write 7.8 × 10⁻³ as a decimal. =
  30. 30.Write (7⁴)⁴ as a single power 7ⁿ. What is n?
  31. 31.What is the value of 10²? =
  32. 32.Write 9⁷ × 9² as a single power 9ⁿ. What is n?
  33. 33.Write 7⁷ × 7⁷ as a single power 7ⁿ. What is n?
  34. 34.What is the value of 8⁻² (as a fraction)? =
  35. 35.Write 1.9 × 10⁻² as a decimal. =
  36. 36.What is the value of 9⁵? =
  37. 37.Write (9⁴)⁹ as a single power 9ⁿ. What is n?
  38. 38.Write 5³ × 5⁴ as a single power 5ⁿ. What is n?
  39. 39.Write 6⁷ ÷ 6² as a single power 6ⁿ. What is n?
  40. 40.Write 34,000 in standard form as 3.4 × 10ⁿ. What is n?

Answer key

  1. 790000
  2. 0.0046
  3. 4/3
  4. 10
  5. 56
  6. 16
  7. 16
  8. 3
  9. 0.00092
  10. 36
  11. 125
  12. 9200000
  13. 0.00059
  14. 7
  15. 2187
  16. 3
  17. 18
  18. 1/125
  19. 3
  20. 3
  21. 0.0064
  22. 6
  23. 1
  24. 1/625
  25. 9
  26. 12
  27. 12
  28. 1296
  29. 0.0078
  30. 16
  31. 100
  32. 9
  33. 14
  34. 1/64
  35. 0.019
  36. 59049
  37. 36
  38. 7
  39. 5
  40. 4

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