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 - Page 50: 124

Answer

There is no difference in simplifying $\sqrt[3] {(-5)^{3}}$ and $\sqrt[4] {(-5)^{4}}$ Simplification of $\sqrt[3] {(-5)^{3}}$= -5 Simplification of $\sqrt[4] {(-5)^{4}}$ = -5

Work Step by Step

There is no difference in simplifying $\sqrt[3] {(-5)^{3}}$ and $\sqrt[4] {(-5)^{4}}$ Simplification of $\sqrt[3] {(-5)^{3}}$= ${(-5)^{3\times\frac{1}{3}}}$ = -5 Simplification of $\sqrt[4] {(-5)^{4}}$= ${(-5)^{4\times\frac{1}{4}}}$ = -5
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