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Rational Expon ents and Radicals

Rational Expon ents and Radicals. By: Jeffrey Bivin Lake Zurich High School jeff.bivin@lz95.org. Last Updated: December 11, 2007. Properties of rational Exponents. What can we say?. Jeff Bivin -- LZHS. Are these equivalent?. YES. YES. YES. YES. Jeff Bivin -- LZHS. Evaluate each.

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Rational Expon ents and Radicals

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  1. Rational ExponentsandRadicals By: Jeffrey Bivin Lake Zurich High School jeff.bivin@lz95.org Last Updated: December 11, 2007

  2. Properties of rational Exponents What can we say? Jeff Bivin -- LZHS

  3. Are these equivalent? YES YES YES YES Jeff Bivin -- LZHS

  4. Evaluate each Jeff Bivin -- LZHS

  5. Evaluate Jeff Bivin -- LZHS

  6. Now Consider remember Jeff Bivin -- LZHS

  7. Evaluate Jeff Bivin -- LZHS

  8. Consider Jeff Bivin -- LZHS

  9. One More or Jeff Bivin -- LZHS

  10. Evaluate Jeff Bivin -- LZHS

  11. Evaluate Let's make this easier! 5 goes into 14 how many times? How many left over? 5 goes into 26 how many times? How many left over? 5 goes into 33 how many times? How many left over? Jeff Bivin -- LZHS

  12. Evaluate 7 goes into the exponent 34 how many times? How many left over? 7 goes into the exponent 14 how many times? How many left over? 7 goes into the exponent 23 how many times? How many left over? Jeff Bivin -- LZHS

  13. Evaluate Don’t forget, even root – we need to use absolute value 4 goes into the exponent 15 how many times? How many left over? 4 goes into the exponent 18 how many times? How many left over? 4 goes into the exponent 29 how many times? How many left over? An even power can come out of the absolute value Jeff Bivin -- LZHS

  14. Evaluate: 3 goes into the power 4 how many times? How many left over? 3 goes into the power 2 how many times? How many left over? simplify Jeff Bivin -- LZHS

  15. Evaluate: 2 goes into the power 5 how many times? How many left over? 2 goes into the power 3 how many times? How many left over? simplify Jeff Bivin -- LZHS

  16. Evaluate: 2 goes into the power 7 how many times? How many left over? 2 goes into the power 2 how many times? How many left over? 2 goes into the power 9 how many times? How many left over? 2 goes into the power 27 how many times? How many left over? simplify Jeff Bivin -- LZHS

  17. Simplify Jeff Bivin -- LZHS

  18. Simplify Jeff Bivin -- LZHS

  19. Simplify Jeff Bivin -- LZHS

  20. Simplify Jeff Bivin -- LZHS

  21. Simplify Jeff Bivin -- LZHS

  22. Simplify Jeff Bivin -- LZHS Jeff Bivin -- LZHS

  23. Simplify Jeff Bivin -- LZHS

  24. Simplify Jeff Bivin -- LZHS

  25. Simplify Jeff Bivin -- LZHS

  26. Simplify Jeff Bivin -- LZHS

  27. Simplify Jeff Bivin -- LZHS

  28. Simplify Jeff Bivin -- LZHS

  29. Simplify Jeff Bivin -- LZHS

  30. Simplify Jeff Bivin -- LZHS

  31. Simplify Jeff Bivin -- LZHS

  32. Express using Rational Exponents Jeff Bivin -- LZHS

  33. Express using Rational Exponents Jeff Bivin -- LZHS

  34. Express using Rational Exponents Jeff Bivin -- LZHS

  35. Express in Simplest Radical From Jeff Bivin -- LZHS

  36. Express in Simplest Radical From Jeff Bivin -- LZHS

  37. Express in Simplest Radical From Jeff Bivin -- LZHS

  38. Express in Simplest Radical From Jeff Bivin -- LZHS

  39. Express in Simplest Radical From Jeff Bivin -- LZHS

  40. Express in Simplest Radical From 2 more reducing coming soon Jeff Bivin -- LZHS

  41. Express in Simplest Radical From Jeff Bivin -- LZHS

  42. Express in Simplest Radical From

  43. Express in Simplest Radical From

  44. Express in Simplest Radical From alternative

  45. Express in Simplest Radical From 2 Jeff Bivin -- LZHS

  46. Express in Simplest Radical From Jeff Bivin -- LZHS

  47. Express in Simplest Radical From Jeff Bivin -- LZHS

  48. Express in Simplest Radical From Jeff Bivin -- LZHS

  49. Express in Simplest Radical From more reducing coming now Jeff Bivin -- LZHS

  50. 1 Express in Simplest Radical From Jeff Bivin -- LZHS

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