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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.

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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

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

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

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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

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

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

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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

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