Rational exponents

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Rational exponents

  1. 1.
  2. 2.
  3. 3. How Do We Use Rational Exponents? <ul><li>Do Now: Perform the indicated operation and simplify </li></ul><ul><li>1. </li></ul><ul><li>2. </li></ul>
  4. 4. n th Roots n th Roots An n th root of number a is a number whose n th power is a . a number whose n th power is a If the index n is even, then the radicand a must be nonnegative. is not a real number
  5. 5. Square Root of x 2 Page 393
  6. 6. Radicals
  7. 7. Rational Exponents
  8. 8. Exponent 1/ n When n Is Even
  9. 9. When n Is Even
  10. 10. Exponent 1/ n When n Is Odd
  11. 11. Exponent 1/ n When n Is Odd
  12. 12. n th Root of Zero
  13. 13. Rational Exponents
  14. 14. Evaluating in Either Order
  15. 15. Negative Rational Exponents
  16. 16. Evaluating a - m/n
  17. 17. Rules for Rational Exponents 7-6
  18. 18. Simplifying
  19. 19. Simplifying
  20. 20. Simplifying
  21. 21. Multiplying Radicals – Different Indices
  22. 22. Multiplying Radicals <ul><li>Different Indices </li></ul>
  23. 23. Different Indices
  24. 24. Different Indices
  25. 25. Different Indices
  26. 26. Rational Exponents <ul><li>Eliminate the root, then the power </li></ul>
  27. 27. Eliminate the Root, Then the Power
  28. 28. Negative Exponents
  29. 29. Negative Exponents <ul><li>Eliminate the root, then the power </li></ul>
  30. 30. Negative Exponents <ul><li>Eliminate the root, then the power </li></ul>
  31. 31. No Solution <ul><li>Eliminate the root, then the power </li></ul>
  32. 32. No Solution <ul><li>Eliminate the root, then the power </li></ul>
  33. 33. Strategy for Solving Equations with Exponents and Radicals

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