Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-5 Rational Exponents and Radicals - Practice and Problem-Solving Exercises - Page 451: 37

Answer

$\sqrt[4]{x^{5}}$.

Work Step by Step

The given expression is $=(x^{\frac{3}{4}})(x^{\frac{1}{2}})$ Add exponents of powers with the same base. $=x^{\frac{3}{4}+\frac{1}{2}}$ Simplify. $=x^{\frac{3}{4}+\frac{2}{4}}$ $=x^{\frac{3+2}{4}}$ $=x^{\frac{5}{4}}$ Write in radical form. $=\sqrt[4]{x^{5}}$.
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