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Popular >

simplify e^{-ln((a-b)/a)}

Solution

simplify

e^{- l n (\frac{a - b}{a})}

Solution

\frac{a}{a - b}

Solution steps

e^{- l n (\frac{a - b}{a})}

Apply exponent rule:

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

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

e^{l n (\frac{a - b}{a})} = \frac{a - b}{a}

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

Apply the fraction rule:

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

= \frac{a}{a - b}

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Frequently Asked Questions (FAQ)

What is e^{-ln((a-b)/a)} ?
The solution to e^{-ln((a-b)/a)} is a/(a-b)