Write out on the board how to do them using radicals!!! The PP has how to solve using powers….you show how to use radicals!!! 1

2 Algebra 2: Section 7.2 Properties of Rational Exponents

3 Examples: Simplify Alternate Method

4 Rationalizing Denominator with Rational Exponents Goal: Create an exponent in denominator that is a whole number Base that you multiply top and bottom of fraction by must have exponent that adds to a whole number in the denominator

5 Examples: Simplify Can’t have a radical in denominator! Rationalize: now we will have a fourth power of 2 under the fourth root

6 Adding & Subtracting Roots and Rational Exponents Similar to combining like terms Radical parts must be EXACTLY ALIKE – Same roots – Same numbers under the radical May need to simplify radical

7 Examples 53

8 Simplify the cube root of 81. May end up with like radicals There is a one in front of this radical

9 Examples Usually easier to simplify variables In radicals by changing to rational exponents

10 Examples Multiply each exponent by one-half Usually easier to think of numbers in terms Of radicals instead of rational exponents

11 Examples

12 Examples Simplified 18/6 and moved t to numerator because of (-3) exponent

13 Examples Factor out perfect 4 th powers. (Powers that are divisible by 4) Use product property to rewrite order, so that terms in first radical are those that will simplify

14 Examples Factor out perfect 5 th powers Can’t have radical in denominator Rationalize

15 Homework P.411 #43-75 odds

16 Homework P.411 #42-74 evens