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Popular >

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

Solution

simplify

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

Solution

e^{4 x - 2 y}

Solution steps

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

Apply exponent rule:

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

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

Expand

2 x - y - (y - 2 x) : 4 x - 2 y

= e^{4 x - 2 y}

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Frequently Asked Questions (FAQ)

What is (e^{2x-y})/(e^{y-2x)} ?
The solution to (e^{2x-y})/(e^{y-2x)} is e^{4x-2y}