Answer
$54n^4m^5$
Work Step by Step
We start with the given expression: $9m^3(6m^2n^4)$
We re-arrange and regroup the expression using the commutative and associative properties of multiplication: $(9\times6)(m^3m^2)n^4$
We multiply the constants: $54n^4(m^3m^2)$
To multiply powers with the same base, we add the exponents: $54n^4(m^{3+2})=54n^4m^5$