Rational Exponents and Radicals

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Rational Exponents 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 Jeff Bivin -- LZHS

Evaluate Jeff Bivin -- LZHS

Now Consider remember Jeff Bivin -- LZHS

Evaluate Jeff Bivin -- LZHS

Consider Jeff Bivin -- LZHS

One More or Jeff Bivin -- LZHS

Evaluate Jeff Bivin -- LZHS

Evaluate Let's make this easier! Jeff Bivin -- LZHS 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

Evaluate Jeff Bivin -- LZHS 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

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

Evaluate: simplify Jeff Bivin -- LZHS 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

Evaluate: simplify Jeff Bivin -- LZHS 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

Evaluate: simplify Jeff Bivin -- LZHS 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

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Express using Rational Exponents Jeff Bivin -- LZHS

Express using Rational Exponents Jeff Bivin -- LZHS

Express using Rational Exponents Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

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

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From

Express in Simplest Radical From

Express in Simplest Radical From alternative

Express in Simplest Radical From 2 Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

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

Express in Simplest Radical From 1 Jeff Bivin -- LZHS

Express in Simplest Radical From 1 remember 16 = 24 Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

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