Use the negative exponent rule to generate an equivalent expression to 3 negative 1 over 2 write answer in radical form

1 answer

To express \( 3^{-1/2} \) using the negative exponent rule, we can rewrite it as:

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

Next, to express \( 3^{1/2} \) in radical form, we have:

\[ 3^{1/2} = \sqrt{3} \]

So, putting it all together, we can write:

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

Thus, the equivalent expression of \( 3^{-1/2} \) in radical form is:

\[ \frac{1}{\sqrt{3}} \]