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Popular >

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

Solution

simplify

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

Solution

- \frac{x}{e ^{c}}

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(a) = a

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

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

= \frac{1}{- e ^{c} \frac{1}{x}}

Simplify

= - \frac{x}{e ^{c}}

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Frequently Asked Questions (FAQ)

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