1. WARM UP POWER OF A PRODUCT Simplify the expression. 1.(3x) 4 2.(-5x) 3 3.(xy) 6 4.(8xy) 2 4

2. WARM UP POWER OF A PRODUCT Simplify the expression. 1.(3x) 4 2.(-5x) 3 3.(xy) 6 4.(8xy) 2 3

3. WARM UP POWER OF A PRODUCT Simplify the expression. 1.(3x) 4 2.(-5x) 3 3.(xy) 6 4.(8xy) 2 2

4. WARM UP POWER OF A PRODUCT Simplify the expression. 1.(3x) 4 2.(-5x) 3 3.(xy) 6 4.(8xy) 2 1

5. POWER OF A PRODUCT Simplify the expression. 1.(3x) 4 2.(-5x) 3 3.(xy) 6 4.(8xy) 2 WARM UP 0

6. 9.3 Simplifying Radicals Goal Simplify radical expressions Key Words Radical Simplest form of a radical expression Product property of radicals Quotient property of radicals

7. 9.3 Simplifying Radicals The simplest form of a radical expression is an expression that has no perfect square factors other than 1 in the radicand, no fractions in the radicand, and no radicals in the denominator of a fraction. Properties of radicals can be used to simplify expression that contain radicals.

8. 9.3 Simplifying Radicals

10. EXAMPLE 2 Simplify with the Quotient Property Simplify Factor using perfect squares Divide out common factors Use quotient property Simplify

11. 9.3 Simplifying Radicals EXAMPLE 3 Rationalize the Denominator Simplify Factor using perfect squares Divide out common factors Use quotient property Simplify

12. 9.3 Simplifying Radicals EXAMPLES