Take out the constants.
\[(3\times 15\times 2\times 56)hhmmnn\imath \imath \]
Simplify \(3\times 15\) to \(45\).
\[(45\times 2\times 56)hhmmnn\imath \imath \]
Simplify \(45\times 2\) to \(90\).
\[(90\times 56)hhmmnn\imath \imath \]
Simplify \(90\times 56\) to \(5040\).
\[5040hhmmnn\imath \imath \]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[5040{h}^{2}{m}^{2}{n}^{2}{\imath }^{2}\]
Use Square Rule: \({i}^{2}=-1\).
\[5040{h}^{2}{m}^{2}{n}^{2}\times -1\]
Simplify.
\[-5040{h}^{2}{m}^{2}{n}^{2}\]
-5040*h^2*m^2*n^2
