What is e^{-x^2ln(sqrt(x)e)} ?

The solution to e^{-x^2ln(sqrt(x)e)} is 1/((esqrt(x))^{x^2)}

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simplify e^{-x^2ln(sqrt(x)e)}

simplify

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

\frac{1}{( e x ) ^{x^{2}}}

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{x^{2} l n (e x)}}

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

= \frac{1}{( e x ) ^{x^{2}}}

(3 x^{2} y) (2 x^{2} y)

2 x^{^{'}}

\frac{22}{3}

What is e^{-x^2ln(sqrt(x)e)} ?
The solution to e^{-x^2ln(sqrt(x)e)} is 1/((esqrt(x))^{x^2)}