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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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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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Evaluating a-m/n

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7-6

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Simplifying

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Simplifying

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Different Indices

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- How Do We Use Rational Exponents?
- Radicals
- Rational Exponents
- Rational Exponents
- Evaluating in Either Order
- Negative Rational Exponents
- Rules for Rational Exponents
- Simplifying
- Multiplying Radicals – Different Indices
- Multiplying Radicals
- Different Indices
- Rational Exponents
- Negative Exponents
- No Solution
- Strategy for Solving Equations with Exponents and Radicals

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