To simplify \((-32)^{0.6}\), we first note that raising a negative number to a non-integer exponent can result in a complex number. The exponent \(0.6\) can be expressed as a fraction:
\[ 0.6 = \frac{6}{10} = \frac{3}{5} \]
Thus, we can rewrite the expression as:
\[ (-32)^{0.6} = (-32)^{\frac{3}{5}} = \left((-32)^{3}\right)^{\frac{1}{5}} \]
Calculating \((-32)^3\):
\[ (-32)^3 = -32768 \]
Next, we need to find the fifth root of \(-32768\):
\[ (-32768)^{\frac{1}{5}} \]
We can express \(-32768\) in terms of powers:
\[ -32768 = -32^5 \]
So:
\[ (-32768)^{\frac{1}{5}} = (-32^5)^{\frac{1}{5}} = -32 \]
Thus, we find that:
\[ (-32)^{0.6} = -32 \]
Therefore, the simplified result is:
\[ \boxed{-32} \]