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Rational exponents
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How Do We Use Rational Exponents?

How Do We Use Rational Exponents?

Do Now: Perform the indicated operation and simplify

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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

7-6

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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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