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: 97

Answer

$5x^2|y|^3$

Work Step by Step

$$(25x^4y^6)^{\frac{1}{2}}$$ When an exponential expression is raised to a power, multiply the exponents: $$=\sqrt{25}x^{(4\times \frac{1}{2})}y^{(6\times \frac{1}{2})}$$ If the index is even, the solution to an expression with a rational exponent is non-negative: $$=5x^2|y|^3$$
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