To use the negative exponent rule to rewrite the expression \( 3^{-1/2} \), we can follow these steps:
The negative exponent rule states that \( a^{-n} = \frac{1}{a^n} \). In this case, we can apply it as follows:
\[ 3^{-1/2} = \frac{1}{3^{1/2}} \]
Since \( 3^{1/2} \) is the square root of 3, we can write:
\[ 3^{-1/2} = \frac{1}{\sqrt{3}} \]
So, the equivalent expression to \( 3^{-1/2} \) is \( \frac{1}{\sqrt{3}} \).