Regroup terms.
\[4110ddccm{m}^{2}ttt{r}^{2}roonnvke\imath eee\imath \]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[4110{d}^{1+1}{c}^{1+1}{m}^{1+2}{t}^{1+1+1}{r}^{2+1}{o}^{1+1}{n}^{1+1}vke\imath eee\imath \]
Simplify \(1+1\) to \(2\).
\[4110{d}^{2}{c}^{2}{m}^{1+2}{t}^{2+1}{r}^{2+1}{o}^{2}{n}^{2}vke\imath eee\imath \]
Simplify \(1+2\) to \(3\).
\[4110{d}^{2}{c}^{2}{m}^{3}{t}^{2+1}{r}^{2+1}{o}^{2}{n}^{2}vke\imath eee\imath \]
Simplify \(2+1\) to \(3\).
\[4110{d}^{2}{c}^{2}{m}^{3}{t}^{3}{r}^{3}{o}^{2}{n}^{2}vke\imath eee\imath \]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[4110{d}^{2}{c}^{2}{m}^{3}{t}^{3}{r}^{3}{o}^{2}{n}^{2}vk{e}^{4}{\imath }^{2}\]
Use Square Rule: \({i}^{2}=-1\).
\[4110{d}^{2}{c}^{2}{m}^{3}{t}^{3}{r}^{3}{o}^{2}{n}^{2}vk{e}^{4}\times -1\]
Simplify.
\[-4110{d}^{2}{c}^{2}{m}^{3}{t}^{3}{r}^{3}{o}^{2}{n}^{2}vk{e}^{4}\]
Regroup terms.
\[-4110{e}^{4}{d}^{2}{c}^{2}{m}^{3}{t}^{3}{r}^{3}{o}^{2}{n}^{2}vk\]
-4110*e^4*d^2*c^2*m^3*t^3*r^3*o^2*n^2*v*k
