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Popular >

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

Solution

simplify

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

Solution

e^{2 y - 2 x}

Solution steps

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

Apply exponent rule:

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

= e^{y - x - (x - y)}

Expand

y - x - (x - y) : 2 y - 2 x

= e^{2 y - 2 x}

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1.08 \cdot 1 0^{- 2}

Frequently Asked Questions (FAQ)

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