Simplify 5th root of (32)^(-3)

Simplify: \(\sqrt[5]{(32)^{-3}}\)

Solution

\[ = (32)^{-3/5} \]

\[ = (2^5)^{-3/5} \]

\[ = 2^{-3} \]

\[ = \frac{1}{8} \]

Final Answer:

\[ \boxed{\frac{1}{8}} \]

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