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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 399 · 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 4⁴? =
  2. 2.What is the value of 3⁶ × 3⁻¹? =
  3. 3.What is the value of 3² × 3⁻³? =
  4. 4.Write 6.4 × 10⁻² as a decimal. =
  5. 5.What is the value of 2⁻⁶ (as a fraction)? =
  6. 6.8 × 10⁵ =
  7. 7.What is the value of (3/7)⁻¹? =
  8. 8.What is the value of 3¹ × 3⁻²? =
  9. 9.Write 1.9 × 10⁻² as a decimal. =
  10. 10.9 × 10⁴ =
  11. 11.Write 4.7 × 10⁻¹ as a decimal. =
  12. 12.What is the value of (7/8)⁻²? =
  13. 13.Write 9.6 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of 3⁻² (as a fraction)? =
  15. 15.What is the value of 5⁴ × 5⁻²? =
  16. 16.Write 7.7 × 10⁻³ as a decimal. =
  17. 17.Write 4.5 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 2⁻⁵ (as a fraction)? =
  19. 19.What is the value of 5⁷? =
  20. 20.What is the value of 3⁵ × 3⁻⁴? =
  21. 21.Write 640 in standard form as 6.4 × 10ⁿ. What is n?
  22. 22.What is the value of 2⁻⁸ (as a fraction)? =
  23. 23.Write 2⁷ × 2² as a single power 2ⁿ. What is n?
  24. 24.5.5 × 10⁴ =
  25. 25.What is the value of 7⁻³ (as a fraction)? =
  26. 26.What is the value of 3⁵ × 3⁻⁵? =
  27. 27.Write 4¹¹ ÷ 4⁴ as a single power 4ⁿ. What is n?
  28. 28.What is the value of 2¹¹? =
  29. 29.Write (2⁴)³ as a single power 2ⁿ. What is n?
  30. 30.Write 8.3 × 10⁻¹ as a decimal. =
  31. 31.Write 7⁵ × 7⁵ as a single power 7ⁿ. What is n?
  32. 32.What is the value of 3³ × 3⁻³? =
  33. 33.3.8 × 10⁵ =
  34. 34.What is the value of 8⁵? =
  35. 35.What is the value of 4⁻² (as a fraction)? =
  36. 36.What is the value of 10² × 10⁻¹? =
  37. 37.Write 96,000 in standard form as 9.6 × 10ⁿ. What is n?
  38. 38.What is the value of 5⁻³ (as a fraction)? =
  39. 39.What is the value of (3/5)⁻²? =
  40. 40.What is the value of (1/2)⁻¹? =

Answer key

  1. 256
  2. 243
  3. 1/3
  4. 0.064
  5. 1/64
  6. 800000
  7. 7/3
  8. 1/3
  9. 0.019
  10. 90000
  11. 0.47
  12. 64/49
  13. 0.00096
  14. 1/9
  15. 25
  16. 0.0077
  17. 0.45
  18. 1/32
  19. 78125
  20. 3
  21. 2
  22. 1/256
  23. 9
  24. 55000
  25. 1/343
  26. 1
  27. 7
  28. 2048
  29. 12
  30. 0.83
  31. 10
  32. 1
  33. 380000
  34. 32768
  35. 1/16
  36. 10
  37. 4
  38. 1/125
  39. 25/9
  40. 2

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