College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.3: 102

Answer

$\sqrt7$

Work Step by Step

$$\sqrt[4]{7^2}$$ To convert from a radical expression to an expression with a rational exponent, the exponent becomes the numerator, and the index becomes the denominator: $$=7^\frac{2}{4}$$ Simplify all fractions: $$=7^\frac{1}{2}$$ Convert back to a radical expression - the numerator becomes the exponent, the denominator becomes the index: $$=\sqrt7$$
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