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Published byGodfrey Farmer Modified over 4 years ago

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6-3: Rational Exponents Unit 6: Rational /Radical Equations

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Recall: Exponent Rules Rational exponents behave exactly like the whole number exponents

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Let’s look at some review problems

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Definition of a rational exponent

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Roots of nth roots CaseRootsExample Odd index1 real root Even index (positive radicand) 2 real roots Even index (negative radicand) No real roots radicand of 01 root of 0

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Find all real roots 1.2.3. 4. 5. 6.

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Simplifying nth roots Recall: and The same applies here: Ex.

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Definition of a rational exponent A rational exponent is defined as: Where m and n are integers and n ≠ 0. Ex.

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Write each expression in radical form and simplify. Write each expression using rational exponents. Solve.

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