Answer:
\(81x^{6} y^{4}\)
Step-by-step explanation:
The given expression is
\((9x^{3} y^{2})^{2}\)
To simplify this expression, we need to use a power property about the power of a power, when this happens, we need to multiply exponents in the case of variables, and the number we elevated to the square power, so
We know that
\(9^{2} =81\\(x^{3})^{2} =x^{6}\\(y^{2})^{2} =y^{4}\)
Then, we replace each equivalence in the given expression
\((9x^{3} y^{2})^{2}=81x^{6} y^{4}\)
Therefore, the right answer is the last choice \(81x^{6} y^{4}\)
