6.1 Evaluate nth Roots & use Rational Exponents

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Presentation transcript:

6.1 Evaluate nth Roots & use Rational Exponents Algebra II

The nth root of a is:

Rational Exponents

Ex. 1 Rewrite the expression using rational exponent notation

Ex. 2 Rewrite the expression using radical notation b.)

Real nth Roots (pg. 414 key concept) If n is odd, then a has one real nth root. Given n=5, a=-32; If n is even & a>0, then a has two real nth roots. Given n=4, a=625; If n is even & a=0, then a has one nth root. Given n=6, a =0. If n is even & a<0, then a has NO REAL nth roots. Given n=6, a = -1

Evaluating Expressions with Rational Exponents (without calc.) Ex. 3a.) 3b.)

Evaluation expressions 4b.)

Solving Equations Ex. 5a.) 5b.)

Solving an Equation using an nth root Ex. 6 A basketball has a volume of about 455.6 cubic inches. The formula for the volume of a basketball is . Find the radius of the basketball.