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Popular >

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

Solution

simplify

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

Solution

\frac{x}{y}

Solution steps

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

Apply exponent rule:

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

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

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

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

Apply the fraction rule:

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

= \frac{x}{y}

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Frequently Asked Questions (FAQ)

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