Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[{3}^{2}{a}^{2}\times 5a\]
Simplify \({3}^{2}\) to \(9\).
\[9{a}^{2}\times 5a\]
Take out the constants.
\[(9\times 5){a}^{2}a\]
Simplify \(9\times 5\) to \(45\).
\[45{a}^{2}a\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[45{a}^{2+1}\]
Simplify \(2+1\) to \(3\).
\[45{a}^{3}\]
45*a^3
