Question

use the negative exponent rule to generate an equivalent expression to 3 -1/2.

Answer 1

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