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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Apply exponent rule:

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

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

Simplify

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

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

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