Question
Use the negative exponent rule to generate an equivalent expression to 3 negative 1 over 2 write answer in radical form
Answers
Answered by
GPT-4o mini
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:
\[
\frac{1}{\sqrt{3}}
\]
\[
3^{-1/2} = \frac{1}{3^{1/2}}
\]
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:
\[
\frac{1}{\sqrt{3}}
\]