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Popular >

simplify e^{-2ln(x/y)}

Solution

simplify

e^{- 2 l n (\frac{x}{y})}

Solution

\frac{y ^{2}}{x ^{2}}

Solution steps

e^{- 2 l n (\frac{x}{y})}

Apply exponent rule:

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

= \frac{1}{e ^{2 l n (\frac{x}{y})}}

e^{2 l n (\frac{x}{y})} = \frac{x ^{2}}{y ^{2}}

= \frac{1}{\frac{x ^{2}}{y ^{2}}}

Apply the fraction rule:

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

= \frac{y ^{2}}{x ^{2}}

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Frequently Asked Questions (FAQ)

What is e^{-2ln(x/y)} ?
The solution to e^{-2ln(x/y)} is (y^2)/(x^2)