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Name: __________________________________ Period: ______ Date: ____________ Algebra IINotes for 6.4: Rational Exponents What you’ll learn: To simplify expressions with rational exponents. To convert rational exponents and radical forms of expressions.Vocabulary: Rational exponent Take a note: You can write a radical expression in an equivalent form using a fractional (rational ) exponent instead of the radical sign. By definition For any positive integer n. Like the radical form, the exponent form indicates the principal root.Example:Rational Exponent: Problem 1: Simplifying Expressions with Rational Exponents Your turn: What is the simplify form of each expression? Rewrite as radicals Rewrite as radicals Rewrite as radicals-47625182245Problem 2: Converting Between Exponential and Radical Form Your turn:Your turn again: Problem 3: Combining Radical Expressions Your turn: What is each product or quotient in simplest form? Problem 4: Writing expressions in the simplest form What is each number or expression in the simplest form? Your turn:What is each number or expression in the simplest form? ................
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