What is e^{-ln(sqrt(x^2+1))} ?

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

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simplify e^{-ln(sqrt(x^2+1))}

simplify

e^{- l n (x^{2} + 1)}

\frac{1}{x ^{2} + 1}

Solution steps

e^{- l n (x^{2} + 1)}

Apply exponent rule:

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

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

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

= \frac{1}{x ^{2} + 1}

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