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Popular >

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

Solution

simplify

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

Solution

\frac{x}{- y - x}

Solution steps

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

Apply exponent rule:

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

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

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

= \frac{1}{\frac{- y - x}{x}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{x}{- y - x}

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Frequently Asked Questions (FAQ)

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