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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

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 (x^{2} - 1)} = x^{2} - 1

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

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Frequently Asked Questions (FAQ)

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