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The Negative Exponent Rule states that \( a^{-n} = \frac{1}{a^n} \).
Given the expression \( 3^{-1/2} \), we can apply this rule:
\[
3^{-1/2} = \frac{1}{3^{1/2}}
\]
The expression \( 3^{1/2} \) is equivalent to the square root of 3. Therefore, we can further simplify our expression:
\[
\frac{1}{3^{1/2}} = \frac{1}{\sqrt{3}}
\]
Thus, an equivalent expression to \( 3^{-1/2} \) is:
\[
\frac{1}{\sqrt{3}}
\]