What is e^{-1/2 ln|1-x^2|} ?

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

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simplify e^{-1/2 ln|1-x^2|}

simplify

e^{- \frac{1}{2} l n ∣ 1 - x^{2} ∣}

\frac{1}{∣ - x ^{2} + 1 ∣}

Solution steps

e^{- \frac{1}{2} l n ∣ 1 - x^{2} ∣}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{1}{2} l n ∣ - x^{2} + 1 ∣}}

e^{\frac{1}{2} l n ∣ 1 - x^{2} ∣} = ∣ 1 - x^{2} ∣

= \frac{1}{∣ 1 - x ^{2} ∣}

4 e^{- \frac{1}{4}}

\frac{1}{2 π} e^{- 0.5 (- 3)^{2}}

\frac{10}{11}

e^{- x} \cdot (- 1)

(7 - 3) (7 - 3)

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