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Do Now: Simplify the expression.

Learn how to solve equations using nth roots and rational exponents. Find the indicated nth roots and rewrite expressions using rational exponent and radical notations.

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Do Now: Simplify the expression.

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  1. Do Now: Simplify the expression.

  2. Algebra II 5.1: nth Roots and Rational Exponents Objective: to Solve equations using nth roots

  3. nth roots

  4. Core Concept

  5. Example 1:Find the indicated realnth root(s) of a a) n = 3, a = -216 b) n = 4, a =81

  6. Practice: Find the indicated nth root(s) of a 1.) n = 4, a = -16 2.) n = 5, a = 243

  7. Practice: Find the indicated nth root(s) of a 3.) n = 2, a = -49 2.) n = 3, a = -125

  8. nth roots

  9. Why rational roots? • What is a rational root?

  10. Rational Exponents – Core Concept

  11. Example 2

  12. Example

  13. Rewrite the expression using rational exponent notation.

  14. Rewrite the expression using radical notation.

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