Question
1. Use the Negative Exponent Rule to generate an equivalent expression to 3 -1/2
. Write your answer in radical form.(1 point)
3 -1/2 =
. Write your answer in radical form.(1 point)
3 -1/2 =
Answers
GPT-4o mini
To apply the Negative Exponent Rule, we first need to understand that a negative exponent indicates the reciprocal of the base raised to the positive exponent. In this case, the expression is \( 3^{-1/2} \).
Using the rule:
\[
3^{-1/2} = \frac{1}{3^{1/2}}
\]
Now, we can rewrite \( 3^{1/2} \) in radical form:
\[
3^{1/2} = \sqrt{3}
\]
Therefore, the expression becomes:
\[
3^{-1/2} = \frac{1}{\sqrt{3}}
\]
So, the equivalent expression in radical form is:
\[
3^{-1/2} = \frac{1}{\sqrt{3}}
\]
Using the rule:
\[
3^{-1/2} = \frac{1}{3^{1/2}}
\]
Now, we can rewrite \( 3^{1/2} \) in radical form:
\[
3^{1/2} = \sqrt{3}
\]
Therefore, the expression becomes:
\[
3^{-1/2} = \frac{1}{\sqrt{3}}
\]
So, the equivalent expression in radical form is:
\[
3^{-1/2} = \frac{1}{\sqrt{3}}
\]