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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 513 · 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 9¹⁴ ÷ 9⁸ as a single power 9ⁿ. What is n?
  2. 2.What is the value of 2⁷? =
  3. 3.Write 4,70,000 in standard form as 4.7 × 10ⁿ. What is n?
  4. 4.Write (6⁷)⁴ as a single power 6ⁿ. What is n?
  5. 5.Write 7 × 10⁻⁴ as a decimal. =
  6. 6.Write 9⁹ × 9⁴ as a single power 9ⁿ. What is n?
  7. 7.What is the value of 2¹⁶? =
  8. 8.Write (9²)⁹ as a single power 9ⁿ. What is n?
  9. 9.What is the value of 3⁹? =
  10. 10.What is the value of 9³? =
  11. 11.What is the value of 5⁶ × 5⁻¹? =
  12. 12.What is the value of 7⁴? =
  13. 13.What is the value of (3/7)⁻²? =
  14. 14.9.6 × 10⁷ =
  15. 15.What is the value of 2³ × 2⁻²? =
  16. 16.What is the value of 8²? =
  17. 17.What is the value of 3⁸? =
  18. 18.Write 25,00,000 in standard form as 2.5 × 10ⁿ. What is n?
  19. 19.What is the value of 10¹ × 10⁻¹? =
  20. 20.Write 8³ × 8⁹ as a single power 8ⁿ. What is n?
  21. 21.Write 4⁷ × 4⁴ as a single power 4ⁿ. What is n?
  22. 22.What is the value of 10⁴ × 10⁻²? =
  23. 23.What is the value of 2⁶ × 2⁻⁵? =
  24. 24.Write 1.4 × 10⁻¹ as a decimal. =
  25. 25.What is the value of (1/7)⁻¹? =
  26. 26.Write 5.3 × 10⁻³ as a decimal. =
  27. 27.What is the value of 9²? =
  28. 28.What is the value of 3³? =
  29. 29.What is the value of 5⁴ × 5⁻⁶? =
  30. 30.What is the value of (5/6)⁻²? =
  31. 31.What is the value of 3² × 3⁻¹? =
  32. 32.Write 6⁷ × 6⁷ as a single power 6ⁿ. What is n?
  33. 33.What is the value of 2¹⁰? =
  34. 34.Write 3.3 × 10⁻⁴ as a decimal. =
  35. 35.What is the value of (5/7)⁻¹? =
  36. 36.1.3 × 10⁶ =
  37. 37.Write 4¹¹ ÷ 4² as a single power 4ⁿ. What is n?
  38. 38.What is the value of 3²? =
  39. 39.3.4 × 10⁵ =
  40. 40.Write 3² × 3³ as a single power 3ⁿ. What is n?

Answer key

  1. 6
  2. 128
  3. 5
  4. 28
  5. 0.0007
  6. 13
  7. 65536
  8. 18
  9. 19683
  10. 729
  11. 3125
  12. 2401
  13. 49/9
  14. 96000000
  15. 2
  16. 64
  17. 6561
  18. 6
  19. 1
  20. 12
  21. 11
  22. 100
  23. 2
  24. 0.14
  25. 7
  26. 0.0053
  27. 81
  28. 27
  29. 1/25
  30. 36/25
  31. 3
  32. 14
  33. 1024
  34. 0.00033
  35. 7/5
  36. 1300000
  37. 9
  38. 9
  39. 340000
  40. 5

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