To simplify the expression \((3x/x^{-5})^0\), we need to utilize the property of exponents that states any non-zero base raised to the power of \(0\) is equal to \(1\).
First, we check the base of the expression:
\[ \frac{3x}{x^{-5}} = 3x \cdot x^5 = 3x^{1 + 5} = 3x^6 \]
Now, observe the entire expression:
\[ (3x/x^{-5})^0 = (3x^6)^0 \]
Since \(3x^6\) is not zero (assuming \(x \neq 0\)), we apply the exponent rule:
\[ (3x^6)^0 = 1 \]
Thus, the simplified expression is:
\[ \boxed{1} \]