To simplify \((-32)^{1/5}\), we need to find the fifth root of \(-32\).
The fifth root of \(-32\) is the number that, when raised to the power of 5, gives \(-32\).
Since \(2^5 = 32\), we have:
\[ (-2)^5 = -32 \]
So, the fifth root of \(-32\) is \(-2\).
Thus, \((-32)^{1/5} = -2\).