Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.5 Expressions Containing Several Radical Terms - 10.5 Exercise Set - Page 661: 103

Answer

$$2x^{\frac{3}{4}}-x^{\frac{11}{12}}$$

Work Step by Step

We know that this expression is the same as telling us to multiply $f(x)$ and $g(x)$. Doing this, we find: $$ \left(x^{\frac{1}{4}}\right)\left(2x^{\frac{1}{2}}-x^{\frac{2}{3}}\right)\\ \left(x^{\frac{1}{4}}\right)\cdot \:2x^{\frac{1}{2}}-\left(x^{\frac{1}{4}}\right)x^{\frac{2}{3}}\\ 2x^{\frac{3}{4}}-x^{\frac{11}{12}}$$
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