What is expand e^{2x(yln(y)-y)} ?

The solution to expand e^{2x(yln(y)-y)} is e^{-2xy}y^{2xy}

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expand e^{2x(yln(y)-y)}

expand

e^{2 x (y l n (y) - y)}

e^{- 2 x y} y^{2 x y}

Solution steps

e^{2 x (y l n (y) - y)}

Expand

2 x (y ln (y) - y) : 2 x y ln (y) - 2 x y

= e^{2 x y l n (y) - 2 x y}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= e^{2 x y l n (y)} e^{- 2 x y}

Simplify

e^{2 x y l n (y)} : y^{2 x y}

= y^{2 x y} e^{- 2 x y}

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\frac{x ^{2} - 6}{( x + 2 ) ( 2 x - 1 )}

\frac{x ( y + Δ y ) - y ^{3}}{Δ y}

\frac{( 2 + x ) ^{3}}{x}

What is expand e^{2x(yln(y)-y)} ?
The solution to expand e^{2x(yln(y)-y)} is e^{-2xy}y^{2xy}