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According to the Negative Exponent Rule, \( a^{-n} = \frac{1}{a^n} \).
To apply this rule to the expression \( 3^{-1/2} \):
\[
3^{-1/2} = \frac{1}{3^{1/2}}
\]
Since \( 3^{1/2} \) is the square root of 3, we can also express it as:
\[
3^{-1/2} = \frac{1}{\sqrt{3}}
\]
Thus, an equivalent expression to \( 3^{-1/2} \) is \( \frac{1}{\sqrt{3}} \).