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Popular >

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

Solution

simplify

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

Solution

\frac{y}{x}

Solution steps

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

Apply exponent rule:

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

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

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

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

Apply the fraction rule:

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

= \frac{y}{x}

Popular Examples

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(3) (6.58286 \cdot 1 0^{- 19})

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e^{- 300 l n (90 - x)}

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e^{\frac{x ^{4}}{4}} (e^{- \frac{x ^{4}}{4}})

simplify-2.96*1.9044*10^{-6}simplify

- 2.96 \cdot 1.9044 \cdot 1 0^{- 6}

simplify e^{-1.119}simplify

e^{- 1.119}

Frequently Asked Questions (FAQ)

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