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Popular >

simplify e^{-ln(-x)}

Solution

simplify

e^{- l n (- x)}

Solution

- \frac{1}{x}

Solution steps

e^{- l n (- x)}

Apply exponent rule:

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

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

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

= \frac{1}{- x}

Apply the fraction rule:

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

= - \frac{1}{x}

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Frequently Asked Questions (FAQ)

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