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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 684 · 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 2¹⁰? =
  2. 2.What is the value of 5³ × 5⁻³? =
  3. 3.What is the value of 5² × 5⁻¹? =
  4. 4.What is the value of 5³ × 5⁻⁴? =
  5. 5.What is the value of 5⁶ × 5⁻⁴? =
  6. 6.What is the value of (3/5)⁻¹? =
  7. 7.What is the value of 9⁵? =
  8. 8.Write 6,700 in standard form as 6.7 × 10ⁿ. What is n?
  9. 9.What is the value of 8²? =
  10. 10.Write 2.9 × 10⁻¹ as a decimal. =
  11. 11.Write 4.5 × 10⁻⁴ as a decimal. =
  12. 12.What is the value of 2¹¹? =
  13. 13.Write 23,000 in standard form as 2.3 × 10ⁿ. What is n?
  14. 14.Write 6⁸ ÷ 6⁴ as a single power 6ⁿ. What is n?
  15. 15.What is the value of 6⁴? =
  16. 16.What is the value of 2⁶ × 2⁻⁵? =
  17. 17.Write 1.6 × 10⁻² as a decimal. =
  18. 18.What is the value of 5³? =
  19. 19.Write 5.6 × 10⁻³ as a decimal. =
  20. 20.What is the value of 2¹ × 2⁻⁵? =
  21. 21.Write 8⁷ ÷ 8³ as a single power 8ⁿ. What is n?
  22. 22.Write 2⁹ × 2² as a single power 2ⁿ. What is n?
  23. 23.What is the value of 10⁴? =
  24. 24.What is the value of (7/9)⁻²? =
  25. 25.What is the value of 6⁶? =
  26. 26.What is the value of 2⁶ × 2⁻¹? =
  27. 27.Write 5² × 5⁶ as a single power 5ⁿ. What is n?
  28. 28.What is the value of 7³? =
  29. 29.Write 8.1 × 10⁻¹ as a decimal. =
  30. 30.Write 2.6 × 10⁻³ as a decimal. =
  31. 31.What is the value of 10³? =
  32. 32.8.3 × 10² =
  33. 33.What is the value of 7⁻¹ (as a fraction)? =
  34. 34.Write 1.8 × 10⁻¹ as a decimal. =
  35. 35.Write 9.2 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of 4⁸? =
  37. 37.1.9 × 10⁷ =
  38. 38.What is the value of 10⁵ × 10⁻⁴? =
  39. 39.What is the value of 2⁻⁸ (as a fraction)? =
  40. 40.Write 7⁹ × 7⁶ as a single power 7ⁿ. What is n?

Answer key

  1. 1024
  2. 1
  3. 5
  4. 1/5
  5. 25
  6. 5/3
  7. 59049
  8. 3
  9. 64
  10. 0.29
  11. 0.00045
  12. 2048
  13. 4
  14. 4
  15. 1296
  16. 2
  17. 0.016
  18. 125
  19. 0.0056
  20. 1/16
  21. 4
  22. 11
  23. 10000
  24. 81/49
  25. 46656
  26. 32
  27. 8
  28. 343
  29. 0.81
  30. 0.0026
  31. 1000
  32. 830
  33. 1/7
  34. 0.18
  35. 0.00092
  36. 65536
  37. 19000000
  38. 10
  39. 1/256
  40. 15

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