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Popular >

simplify (e^{5x})/(e^{10x)}

Solution

simplify

\frac{e ^{5 x}}{e ^{10 x}}

Solution

e^{- 5 x}

Solution steps

\frac{e ^{5 x}}{e ^{10 x}}

Apply exponent rule:

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

= e^{5 x - 10 x}

Add similar elements:

5 x - 10 x = - 5 x

= e^{- 5 x}

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Frequently Asked Questions (FAQ)

What is (e^{5x})/(e^{10x)} ?
The solution to (e^{5x})/(e^{10x)} is e^{-5x}