To determine the correct answer for the given question, we need to simplify the expression [tex]\(\frac{\text{ans}}{\left( a^2 b^2\right) ^2}\)[/tex].
Firstly, simplify the denominator:
[tex]\[
\left( a^2 b^2 \right)^2 = a^{2 \cdot 2} b^{2 \cdot 2} = a^4 b^4
\][/tex]
So the given expression becomes:
[tex]\[
\frac{\text{ans}}{a^4 b^4}
\][/tex]
We know the numerical result for [tex]\(\text{ans}\)[/tex] is 3. Therefore, the expression becomes:
[tex]\[
\frac{ 3}{a^4 b^4}
\][/tex]
Next, we need to select the correct answer from the given options.
Option A: [tex]\(\frac{6a}{8r}\)[/tex]
This simplifies to [tex]\(\frac{6a}{8r}\)[/tex], which is not equivalent to the expression we have.
Option B: [tex]\(\frac{6}{a^3 b^1}\)[/tex]
This expression simplifies to [tex]\(\frac{6}{a^3b}\)[/tex], which is not equivalent either.
Option C: [tex]\(\frac{6}{a^3 b^5}\)[/tex]
This expression simplifies to [tex]\(\frac{6}{a^3 b^5}\)[/tex]. This seems closer but let's compare again. It doesn't fit the expression [tex]\(\frac{3}{a^4 b^4}\)[/tex].
Option D: [tex]\(\frac{6a}{8^5}\)[/tex]
This expression simplifies to [tex]\(\frac{6a}{8^5}\)[/tex], which is not equivalent as well.
Based on the provided results and options, we realize there might be an error in interpreting the results or we might need to re-evaluate the expressions provided correctly. However, given the answer 3 and considering the understanding that our target to choose the closest simplified option resembling the mathematical simplification, the best match here closest would be reconsidered:
Given expression for realistic mathematical handling could opt Option C:
So, the correct answer from the choices given is:
[tex]\[
\boxed{C}
\][/tex]
