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How Do We Use Rational Exponents?
Do Now: Perform the indicated operation and simplify 1. 2.
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nth Roots nth Roots An nth root of number a is a number whose nth power is a. a number whose nth power is a If the index n is even, then the radicand a must be nonnegative. is not a real number
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Square Root of x2 Page 393
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Radicals
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Rational Exponents
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Exponent 1/n When n Is Even
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When n Is Even
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Exponent 1/n When n Is Odd
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Exponent 1/n When n Is Odd
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nth Root of Zero
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Rational Exponents
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Evaluating in Either Order
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Negative Rational Exponents
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Evaluating a-m/n
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Rules for Rational Exponents
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Simplifying
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Simplifying
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Simplifying
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Multiplying Radicals – Different Indices
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Multiplying Radicals Different Indices
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Different Indices
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Different Indices
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Different Indices
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Rational Exponents Eliminate the root, then the power
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Eliminate the Root, Then the Power
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Negative Exponents
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Negative Exponents Eliminate the root, then the power
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Negative Exponents Eliminate the root, then the power
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No Solution Eliminate the root, then the power
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No Solution Eliminate the root, then the power
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Strategy for Solving Equations with Exponents and Radicals
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