Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

End-of-Course Assessment - Page 967: 35

Answer

$r^{\frac{3}{4}}$, or (D)

Work Step by Step

When dividing exponents, keep in mind that $\frac{x^a}{x^b} = x^{a-b}$ Applying that rule to this problem: $\frac{r^{\frac{1}{2}}}{r^{-\frac{1}{4}}} = r^{\frac{1}{2}-(-\frac{1}{4})} = r^{\frac{3}{4}}$
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