Evaluate the expressions. \[ \begin{array}{l} -(5)^{0}=[1] \\ \left(-\frac{1}{3}\right)^{0}=\square \end{array} \]

Step 1 ：The question is asking for the value of \((-\frac{1}{3})^{0}\). In mathematics, any non-zero number raised to the power of 0 is 1. This is because the power of 0 is defined as the number of times a number is divided by itself, which is always 1. Therefore, \((-\frac{1}{3})^{0}\) should be 1.

Step 2 ：Final Answer: \(\boxed{1}\)