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Popular >

simplify e^{-xln(1+e^y)}

Solution

simplify

e^{- x l n (1 + e^{y})}

Solution

\frac{1}{( e ^{y} + 1 ) ^{x}}

Solution steps

e^{- x l n (1 + e^{y})}

Apply exponent rule:

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

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

e^{x l n (1 + e^{y})} = (1 + e^{y})^{x}

= \frac{1}{( 1 + e ^{y} ) ^{x}}

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Frequently Asked Questions (FAQ)

What is e^{-xln(1+e^y)} ?
The solution to e^{-xln(1+e^y)} is 1/((e^y+1)^x)