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Popular >

simplify (e^x)/(e^{6x)}

Solution

simplify

\frac{e ^{x}}{e ^{6 x}}

Solution

e^{- 5 x}

Solution steps

\frac{e ^{x}}{e ^{6 x}}

Apply exponent rule:

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

= e^{x - 6 x}

Add similar elements:

x - 6 x = - 5 x

= e^{- 5 x}

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Frequently Asked Questions (FAQ)

What is (e^x)/(e^{6x)} ?
The solution to (e^x)/(e^{6x)} is e^{-5x}