Simplify: \(\left(16^{-1/5}\right)^{5/2}\)
Solution
\[ = 16^{(-1/5)\cdot(5/2)} \]
\[ = 16^{-1/2} \]
\[ = \frac{1}{\sqrt{16}} = \frac{1}{4} \]
Final Answer:
\[ \boxed{\frac{1}{4}} \]
\[ = 16^{(-1/5)\cdot(5/2)} \]
\[ = 16^{-1/2} \]
\[ = \frac{1}{\sqrt{16}} = \frac{1}{4} \]
\[ \boxed{\frac{1}{4}} \]