Question

$$x\wedge(z\wedge y\vee z)\vee y\vee x\wedge y$$

Answer

$$e^4*x^(e^2*z^(y+1)*v+y)*v^2*y$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{x}^{{z}^{y+1}v{e}^{2}}veeyvee{x}^{y}\]
Regroup terms.
\[{x}^{{e}^{2}{z}^{y+1}v}veeyvee{x}^{y}\]
Regroup terms.
\[{x}^{{e}^{2}{z}^{y+1}v}{x}^{y}vvyeeee\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{x}^{{e}^{2}{z}^{y+1}v+y}{v}^{1+1}yeeee\]
Simplify  \(1+1\)  to  \(2\).
\[{x}^{{e}^{2}{z}^{y+1}v+y}{v}^{2}yeeee\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{x}^{{e}^{2}{z}^{y+1}v+y}{v}^{2}y{e}^{4}\]
Regroup terms.
\[{e}^{4}{x}^{{e}^{2}{z}^{y+1}v+y}{v}^{2}y\]