To use the negative exponent rule, we first need to understand that a negative exponent denotes the reciprocal of the base raised to the corresponding positive exponent. The expression you provided is \( 3^{-1/2} \).
Using the negative exponent rule, we can rewrite \( 3^{-1/2} \) as follows:
\[ 3^{-1/2} = \frac{1}{3^{1/2}} \]
Since \( 3^{1/2} \) is the square root of 3, we can further simplify this expression:
\[ 3^{-1/2} = \frac{1}{\sqrt{3}} \]
Therefore, the equivalent expression for \( 3^{-1/2} \) is \( \frac{1}{\sqrt{3}} \).
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