The Negative Exponent Rule states that \( a^{-n} = \frac{1}{a^n} \).
For the expression \( 3^{-1/2} \), we can apply this rule:
\[
3^{-1/2} = \frac{1}{3^{1/2}}
\]
Since \( 3^{1/2} \) is the square root of 3, we can write this as:
\[
3^{-1/2} = \frac{1}{\sqrt{3}}
\]
So, the equivalent expression for \( 3^{-1/2} \) is \( \frac{1}{\sqrt{3}} \).