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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 704 · 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. 1.7.3 × 10³ =
  2. 2.What is the value of 3¹ × 3⁻¹? =
  3. 3.Write 34,000 in standard form as 3.4 × 10ⁿ. What is n?
  4. 4.Write 8.4 × 10⁻¹ as a decimal. =
  5. 5.What is the value of 8⁴? =
  6. 6.Write 3,70,000 in standard form as 3.7 × 10ⁿ. What is n?
  7. 7.Write 860 in standard form as 8.6 × 10ⁿ. What is n?
  8. 8.Write 25,00,000 in standard form as 2.5 × 10ⁿ. What is n?
  9. 9.What is the value of 2⁻¹ (as a fraction)? =
  10. 10.What is the value of 2⁵? =
  11. 11.Write 3¹¹ ÷ 3⁷ as a single power 3ⁿ. What is n?
  12. 12.3.8 × 10⁴ =
  13. 13.What is the value of (1/2)⁻²? =
  14. 14.Write 2.5 × 10⁻³ as a decimal. =
  15. 15.Write 9 × 10⁻¹ as a decimal. =
  16. 16.Write 35,000 in standard form as 3.5 × 10ⁿ. What is n?
  17. 17.What is the value of 2⁻⁸ (as a fraction)? =
  18. 18.What is the value of 2⁸? =
  19. 19.What is the value of 9⁵? =
  20. 20.What is the value of 9²? =
  21. 21.What is the value of 6²? =
  22. 22.Write (8²)³ as a single power 8ⁿ. What is n?
  23. 23.What is the value of 6⁻³ (as a fraction)? =
  24. 24.Write (9⁸)³ as a single power 9ⁿ. What is n?
  25. 25.What is the value of 2⁶? =
  26. 26.Write 5.1 × 10⁻⁴ as a decimal. =
  27. 27.What is the value of 5¹ × 5⁻⁶? =
  28. 28.Write 3³ × 3³ as a single power 3ⁿ. What is n?
  29. 29.3.1 × 10⁴ =
  30. 30.What is the value of 2² × 2⁻⁴? =
  31. 31.Write 7.5 × 10⁻³ as a decimal. =
  32. 32.What is the value of 2¹²? =
  33. 33.5.7 × 10⁴ =
  34. 34.Write (3³)³ as a single power 3ⁿ. What is n?
  35. 35.What is the value of (6/7)⁻²? =
  36. 36.What is the value of (5/6)⁻²? =
  37. 37.Write 9⁵ ÷ 9² as a single power 9ⁿ. What is n?
  38. 38.Write 4⁹ × 4⁸ as a single power 4ⁿ. What is n?
  39. 39.Write 3⁸ ÷ 3² as a single power 3ⁿ. What is n?
  40. 40.Write 1.2 × 10⁻¹ as a decimal. =

Answer key

  1. 7300
  2. 1
  3. 4
  4. 0.84
  5. 4096
  6. 5
  7. 2
  8. 6
  9. 1/2
  10. 32
  11. 4
  12. 38000
  13. 4
  14. 0.0025
  15. 0.9
  16. 4
  17. 1/256
  18. 256
  19. 59049
  20. 81
  21. 36
  22. 6
  23. 1/216
  24. 24
  25. 64
  26. 0.00051
  27. 1/3125
  28. 6
  29. 31000
  30. 1/4
  31. 0.0075
  32. 4096
  33. 57000
  34. 9
  35. 49/36
  36. 36/25
  37. 3
  38. 17
  39. 6
  40. 0.12

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