Answer:
[tex]81x^{6} y^{4}[/tex]
Step-by-step explanation:
The given expression is
[tex](9x^{3} y^{2})^{2}[/tex]
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
[tex]9^{2} =81\\(x^{3})^{2} =x^{6}\\(y^{2})^{2} =y^{4}[/tex]
Then, we replace each equivalence in the given expression
[tex](9x^{3} y^{2})^{2}=81x^{6} y^{4}[/tex]
Therefore, the right answer is the last choice [tex]81x^{6} y^{4}[/tex]