Remove parentheses.
\[8{m}^{x}{n}^{y}{p}^{z}entre\times 6{m}^{x}n{p}^{-z}\]
Take out the constants.
\[(8\times 6){m}^{x}{m}^{x}{n}^{y}nn{p}^{z}{p}^{-z}tree\]
Simplify \(8\times 6\) to \(48\).
\[48{m}^{x}{m}^{x}{n}^{y}nn{p}^{z}{p}^{-z}tree\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[48{m}^{x+x}{n}^{y+1+1}{p}^{z-z}tree\]
Simplify \(x+x\) to \(2x\).
\[48{m}^{2x}{n}^{y+1+1}{p}^{z-z}tree\]
Simplify \(y+1+1\) to \(y+2\).
\[48{m}^{2x}{n}^{y+2}{p}^{z-z}tree\]
Simplify \(z-z\) to \(0\).
\[48{m}^{2x}{n}^{y+2}{p}^{0}tree\]
Use Rule of Zero: \({x}^{0}=1\).
\[48{m}^{2x}{n}^{y+2}\times 1\times tree\]
Simplify.
\[48{m}^{2x}{n}^{y+2}tree\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[48{m}^{2x}{n}^{y+2}tr{e}^{2}\]
Regroup terms.
\[48{e}^{2}{m}^{2x}{n}^{y+2}tr\]
48*e^2*m^(2*x)*n^(y+2)*t*r
