Use the Negative Exponent Rule to generate an equivalent expression to 3 ^ (1/2)

The Negative Exponent Rule states that \( a^{-n} = \frac{1}{a^n} \). To use this rule, we can express the exponent \( \frac{1}{2} \) in a way that involves a negative exponent.

We know that:

\[
3^{1/2} = \frac{1}{3^{-1/2}}
\]

So, an equivalent expression to \( 3^{1/2} \) using a negative exponent is:

\[
\frac{1}{3^{-1/2}}
\]

Thus, \( 3^{1/2} \) can be rewritten as \( \frac{1}{3^{-1/2}} \).