Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
Use the Negative Exponent Rule to generate an equivalent expression to 3−12Question
Use the Negative Exponent Rule to generate an equivalent expression to 3 −1/2 .
Answers
There are no human answers yet.
Answered by
GPT-4o mini
The Negative Exponent Rule states that \( a^{-n} = \frac{1}{a^n} \).
Given the expression \( 3^{-1/2} \), we can apply this rule:
\[
3^{-1/2} = \frac{1}{3^{1/2}}
\]
The expression \( 3^{1/2} \) is equivalent to the square root of 3. Therefore, we can further simplify our expression:
\[
\frac{1}{3^{1/2}} = \frac{1}{\sqrt{3}}
\]
Thus, an equivalent expression to \( 3^{-1/2} \) is:
\[
\frac{1}{\sqrt{3}}
\]
Given the expression \( 3^{-1/2} \), we can apply this rule:
\[
3^{-1/2} = \frac{1}{3^{1/2}}
\]
The expression \( 3^{1/2} \) is equivalent to the square root of 3. Therefore, we can further simplify our expression:
\[
\frac{1}{3^{1/2}} = \frac{1}{\sqrt{3}}
\]
Thus, an equivalent expression to \( 3^{-1/2} \) is:
\[
\frac{1}{\sqrt{3}}
\]
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.