Use the rules of exponents to simplify the expression. \( \left(3 u^{2}\right)^{2}\left(2 u^{3}\right)^{3} \) \( \left(3 u^{2}\right)^{2}\left(2 u^{3}\right)^{3}=\square \)

Let's simplify the expression step by step! First, when you raise a power to a power, you multiply the exponents. So, for \( \left(3 u^{2}\right)^{2} \), you get \( 3^{2} u^{2 \cdot 2} = 9 u^{4} \). For \( \left(2 u^{3}\right)^{3} \), you get \( 2^{3} u^{3 \cdot 3} = 8 u^{9} \). Now, we can combine these results: \( (9 u^{4})(8 u^{9}) = 9 \cdot 8 \cdot u^{4 + 9} = 72 u^{13} \). So, \( \left(3 u^{2}\right)^{2}\left(2 u^{3}\right)^{3} = 72 u^{13} \).