Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.3 - Fractional Exponents - Problem Set 11.3: 50

Answer

25

Work Step by Step

We will use the rule $\frac{a^{m}}{a^{n}}=a^{m-n}$ in the simplification of the expression: $\frac{5^{\frac{3}{5}}}{5^{-\frac{7}{5}}}=5^{\frac{3}{5}-(-\frac{7}{5})}=5^{\frac{3}{5}+\frac{7}{5}}=5^{\frac{3+7}{5}}=5^{\frac{10}{5}}=5^{2}=25$
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