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Popular >

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

Solution

simplify

\frac{e ^{x - 2 y}}{e ^{2 x + y}}

Solution

e^{- x - 3 y}

Solution steps

\frac{e ^{x - 2 y}}{e ^{2 x + y}}

Apply exponent rule:

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

= e^{x - 2 y - (2 x + y)}

Expand

x - 2 y - (2 x + y) : - x - 3 y

= e^{- x - 3 y}

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Frequently Asked Questions (FAQ)

What is (e^{x-2y})/(e^{2x+y)} ?
The solution to (e^{x-2y})/(e^{2x+y)} is e^{-x-3y}