Take out the constants.
\[(10\times 7)dddvo\imath \imath \imath \]
Simplify \(10\times 7\) to \(70\).
\[70dddvo\imath \imath \imath \]
Simplify.
\[70{d}^{3}vo\imath \imath \imath \]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[70{d}^{3}vo{\imath }^{3}\]
Isolate \({\imath }^{2}\).
\[70{d}^{3}vo{\imath }^{2}\imath \]
Use Square Rule: \({i}^{2}=-1\).
\[70{d}^{3}vo\times -1\times \imath \]
Simplify.
\[-70{d}^{3}vo\imath \]
Regroup terms.
\[-70\imath {d}^{3}vo\]
-70*IM*d^3*v*o
