To use the Negative Exponent Rule to generate an equivalent expression, we can apply the rule that states:
\[ a^{-n} = \frac{1}{a^n} \]
In your expression \(3^{-1/2}\), we can rewrite it as follows:
\[ 3^{-1/2} = \frac{1}{3^{1/2}} \]
Now, since \(3^{1/2}\) is the square root of 3, we can express this as:
\[ 3^{-1/2} = \frac{1}{\sqrt{3}} \]
Thus, an equivalent expression to \(3^{-1/2}\) is \(\frac{1}{\sqrt{3}}\).