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Popular >

simplify (e^{-4x})/(e^x)

Solution

simplify

\frac{e ^{- 4 x}}{e ^{x}}

Solution

e^{- 5 x}

Solution steps

\frac{e ^{- 4 x}}{e ^{x}}

Apply exponent rule:

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

= e^{- 4 x - x}

Add similar elements:

- 4 x - x = - 5 x

= e^{- 5 x}

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Frequently Asked Questions (FAQ)

What is (e^{-4x})/(e^x) ?
The solution to (e^{-4x})/(e^x) is e^{-5x}