Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.2 - Exponents and Radicals - 1.2 Exercises - Page 23: 71


$a)$ $x\sqrt{x}$ $b)$ $x\sqrt[5]{x}$

Work Step by Step

$a)$ $\sqrt{x^{3}}$ Rewrite $x^{3}$ as $x^{2}\cdot x$ and then simplify: $\sqrt{x^{3}}=\sqrt{x^{2}\cdot x}=x\sqrt{x}$ $b)$ $\sqrt[5]{x^{6}}$ Rewrite $x^{6}$ as $x^{5}\cdot x$ and simplify: $\sqrt[5]{x^{6}}=\sqrt[5]{x^{5}\cdot x}=x\sqrt[5]{x}$
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