2. Properties of Rational Exponents Lesson 7.2 Goal: Use properties of radicals and rational exponents.

3. Warm-up Simplify the expression: 1. 2. 3. 4. 5.

4. Properties of Radicals Product and Quotient Properties of Radicals Product Property: Quotient Property: Examples - Use properties of radicals to simplify:

5. Properties of Exponents - Revisited Properties of Rational Exponents Let a and b be positive real numbers. Let m and n be rational numbers.

6. Use the properties of rational exponents to simplify: 1. 2. 3. 4.

7. Add or Subtract Like Radicals Two radicals are like radicals if they have the same index and the same radicand. Simplify:

8. Simplifying variable expressions: You can apply the properties of radicals to expressions involving variables. When the value of a variable is negative, you may need to use the absolute value to find the nth root. Simplify:

9. Simplifying variable expressions: You can apply the properties of radicals to expressions involving variables. When the value of a variable is negative, you may need to use the absolute value to find the nth root. Simplify:

10. Assignment pp. 362-363 21-72 (multiples of 3) 80-82