Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Review Exercises - Page 497: 35



Work Step by Step

We are given that $a^{r}\times a^{s}=a^{r+s}$, if $r$ and $s$ are rational numbers. Therefore, $5^{\frac{1}{4}}\times5^{\frac{7}{4}}=5^{\frac{1}{4}+\frac{7}{4}}=5^{\frac{8}{4}}=5^{2}=25$.
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