Question

$$[(p\vee q)\wedge(p\rightarrow r)\wedge(q\rightarrow r)]\rightarrow r$$

Answer

$$[(e^2*p*v*q)^(p^(q*r)]r*r^(q*r)]r)$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\({(pv{e}^{2}q)}^{{(pr)}^{qr}}\)r
Regroup terms.
\({({e}^{2}pvq)}^{{(pr)}^{qr}}\)r
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).