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Popular >

simplify (e^{2x-1})/(e^{2x)}

Solution

simplify

\frac{e ^{2 x - 1}}{e ^{2 x}}

Solution

\frac{1}{e}

+1

Decimal Notation

0.36787 \dots

Solution steps

\frac{e ^{2 x - 1}}{e ^{2 x}}

Apply exponent rule:

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

= e^{2 x - 1 - 2 x}

Simplify

2 x - 1 - 2 x : - 1

= e^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= \frac{1}{e}

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Frequently Asked Questions (FAQ)

What is (e^{2x-1})/(e^{2x)} ?
The solution to (e^{2x-1})/(e^{2x)} is 1/e