1. 7-2 Properties of Rational Exponents (Day 1) Objective: Ca State Standard 7.0: Students add, subtract, multiply, divide, reduce, and evaluate rational expressions with monomial and polynomial denominators and simplify complicated rational expressions, including those with negative exponents in the denominator.

2. Properties of Rational Exponents Let a and b be real numbers and let m and n be rational numbers. Property Product of Powers Property

4. Negative Exponents Property

5. Quotient of Powers Property

6. Power of a Quotient Property

8. Example 1 Use the properties of Rational Expressions to simplify the expression.

11. Example 2: Using Properties of Radicals

12. For a radical to be in simplest form you must not only apply the properties of radicals but must remove any perfect nth powers (other than 1) and rationalize the denominator. Factor out perfect cubes Product Property Simplify

13. Make the denominator a perfect fifth power Simplify Quotient Property

14. Simplify Two radicals expressions are like radicals if they have the same index and the same radicand.

15. Adding and Subtracting Roots and Radicals

17. Homework: page 411 # 23-53(odd)