How Do We Use Rational Exponents?

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Presentation transcript:

How Do We Use Rational Exponents? Do Now: Perform the indicated operation and simplify 1. 2.

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

Square Root of x2 Page 393

Radicals

Rational Exponents

Exponent 1/n When n Is Even

When n Is Even

Exponent 1/n When n Is Odd

Exponent 1/n When n Is Odd

nth Root of Zero

Rational Exponents

Evaluating in Either Order

Negative Rational Exponents

Evaluating a-m/n

Rules for Rational Exponents 7-6

Simplifying

Simplifying

Simplifying

Multiplying Radicals – Different Indices

Multiplying Radicals Different Indices

Different Indices

Different Indices

Different Indices

Rational Exponents Eliminate the root, then the power

Eliminate the Root, Then the Power

Negative Exponents

Negative Exponents Eliminate the root, then the power

Negative Exponents Eliminate the root, then the power

No Solution Eliminate the root, then the power

No Solution Eliminate the root, then the power

Strategy for Solving Equations with Exponents and Radicals

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