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Popular >

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

Solution

simplify

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

Solution

e

+1

Decimal Notation

2.71828 \dots

Solution steps

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

Apply exponent rule:

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

= e^{- x + 1 - (- x)}

Apply rule

- (- a) = a

= e^{- x + 1 + x}

Simplify

- x + 1 + x : 1

= e^{1}

Apply rule

a^{1} = a

= e

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Frequently Asked Questions (FAQ)

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