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Popular >

simplify (e^{2x})/(e^{5x)}

Solution

simplify

\frac{e ^{2 x}}{e ^{5 x}}

Solution

e^{- 3 x}

Solution steps

\frac{e ^{2 x}}{e ^{5 x}}

Apply exponent rule:

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

= e^{2 x - 5 x}

Add similar elements:

2 x - 5 x = - 3 x

= e^{- 3 x}

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Frequently Asked Questions (FAQ)

What is (e^{2x})/(e^{5x)} ?
The solution to (e^{2x})/(e^{5x)} is e^{-3x}