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Popular >

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

Solution

simplify

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

Solution

e^{- 3 x}

Solution steps

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

Apply exponent rule:

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

= e^{x - 4 x}

Add similar elements:

x - 4 x = - 3 x

= e^{- 3 x}

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Frequently Asked Questions (FAQ)

What is (e^x)/(e^{4x)} ?
The solution to (e^x)/(e^{4x)} is e^{-3x}