Take out the constants.
\[(4\times 25\times 10)hrrmmn\imath nh\imath \]
Simplify \(4\times 25\) to \(100\).
\[(100\times 10)hrrmmn\imath nh\imath \]
Simplify \(100\times 10\) to \(1000\).
\[1000hrrmmn\imath nh\imath \]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[1000h{r}^{2}{m}^{2}n{\imath }^{2}nh\]
Use Square Rule: \({i}^{2}=-1\).
\[1000h{r}^{2}{m}^{2}n\times -1\times nh\]
Simplify.
\[-1000h{r}^{2}{m}^{2}nnh\]
Regroup terms.
\[-1000nhh{r}^{2}{m}^{2}n\]
-1000*nh*h*r^2*m^2*n
