Answer
$9x^{4}y^{6}$
Work Step by Step
We are given the expression $(3x^{2}y^{3})^{2}=(3)^{2}\times(x^{2})^{2}\times(y^{3})^{2}$.
To simplify further, we can use the power rule, which holds that $(a^{m})^{n}=a^{m\times n}$ (where a is a real number, and m and n are integers).
$(3)^{2}\times(x^{2})^{2}\times(y^{3})^{2}=9\times x^{2\times2}\times y^{3\times2}=9x^{4}y^{6}$
