Use the negative exponent rule to generate an equivalent expression to 3, -1/2

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 \( \frac{1}{\sqrt{3}} \).