1. 6.1 n th Roots and Rational Exponents What you should learn: Goal1 Goal2 Evaluate nth roots of real numbers using both radical notation and rational exponent notation Evaluate the expression. 6.1 nth Roots and Rational Exponents Goal3 Solving Equations.

2. 6.1 nth Roots and Rational Exponents Using Rational Exponent Notation Rewrite the expression using RATIONAL EXPONENT notation. Ex)  If n is odd, then a has one real nth root:  If n is even and a = 0, then a has one nth root:  If n is even and a > 0, then a has two real nth roots:  If n is even and a < 0, then a has NO Real roots:Goal1

3. 6.1 nth Roots and Rational Exponents Using Rational Exponent Notation Rewrite the expression using RADICAL notation. Ex)

4. 6.1 nth Roots and Rational Exponents Evaluating Expressions Evaluate the expression. Ex) Goal2

5. 6.1 nth Roots and Rational Exponents Solving Equations Ex) 4 4 5 5 When the exponent is EVEN you must use the Plus/Minus When the exponent is ODD you don’t use the Plus/MinusGoal3

6. 6.1 nth Roots and Rational Exponents Solving Equations Ex) 4 4 Very Important 2 answers ! Take the Square 1 st.

7. Reflection on the Section Evaluate the expressions. 6.1 nth Roots and Rational Exponents

8. 6.2 Properties of Rational Exponents What you should learn: Goal1 Goal2 Use properties of rational exponents to evaluate and simplify expressions. Use properties of rational exponents to solve real-life problems. 6.2 Properties of Rational Exponents