Question

generate an equivalent expression to 3^-1/2 using the negative exponent rule

Answer 1

To rewrite the expression \( 3^{-1/2} \) using the negative exponent rule, we apply the rule, which states that \( a^{-n} = \frac{1}{a^{n}} \).

Thus, for \( 3^{-1/2} \):

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

Since \( 3^{1/2} \) is equivalent to the square root of 3, we can further simplify:

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

So, an equivalent expression to \( 3^{-1/2} \) is:

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