College Algebra (6th Edition)

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

Chapter P - Summary, Review, and Test - Review Exercises - Page 91: 106

Answer

$\frac{16(1+2x)}{\sqrt[4] {x^{3}}}$

Work Step by Step

Factor out $16$ and $x$ at $x^{-\frac{3}{4}}$, the smallest exponent. Then use the formula $a^{-m/n}=\frac{1}{a^{m/n}}=\frac{1}{\sqrt[n] {a^m}}$ to simplify further. $16x^{-\frac{3}{4}}+32x^{\frac{1}{4}}$ $16x^{-\frac{3}{4}}+2*16*32x^{-\frac{3}{4}}*x^1$ $16x^{-\frac{3}{4}}(1+2x)$ $\frac{16(1+2x)}{\sqrt[4] {x^{3}}}$
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