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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