Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Review Exercises - Page 576: 34

Answer

$\sqrt[5]{77x^3}$

Work Step by Step

Simplify. $\sqrt[5] {7x^2}\sqrt[5]{11x}$ Thus, As per the product rule, we have $\sqrt[n] {pq}=\sqrt[n] {p}\sqrt[n] {q}$ $\sqrt[5] {7x^2}\sqrt[5]{11x}=\sqrt[5]{(7x^2)(11x)}=\sqrt[5]{(77)(x \cdot x^2)}$ Hence, the above exponent in radical form can be written as: $\sqrt[5]{77x^3}$
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