Answer:
[tex] = \frac{5}{2} = 2 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]( \frac{625}{16} {)}^{ \frac{1}{4} } \\ \sqrt[4]{ \frac{625}{16} } = \frac{ \sqrt[4]{625} }{ \sqrt[4]{16} } \\ \frac{ \sqrt[4]{ {5}^{4} } }{ \sqrt[4]{16} } = \frac{ \sqrt[4]{ {5}^{4} } }{ \sqrt[4]{ {2}^{4} } } = \frac{5}{2} [/tex]
[tex] \boxed{\green{= \frac{5}{2} = 2 \frac{1}{2}}} [/tex]
