\(\frac{\sqrt[3]{5} \cdot \sqrt{5} }{ \sqrt[3]{5^5} } = \frac{5^{\frac{1}{3}} \cdot 5^{\frac{1}{2}}}{5^{\frac{5}{3}}} = \frac{5^{\frac{1}{3} + \frac{1}{2}}}{5^{\frac{5}{3}}} = \frac{5^\frac{5}{6}}{5^{\frac{5}{3}}} = 5^{\frac{5}{6} - \frac{5}{3}} = 5^{\frac{5}{6} - \frac{10}{6}} = \boxed{\bf{5^{-\frac{5}{6}}}}\)
Your answer is D
