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Popular >

simplify (e^{-3x})/(e^{-x)}

Solution

simplify

\frac{e ^{- 3 x}}{e ^{- x}}

Solution

e^{- 2 x}

Solution steps

\frac{e ^{- 3 x}}{e ^{- x}}

Apply exponent rule:

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

= e^{- 3 x - (- x)}

Apply rule

- (- a) = a

= e^{- 3 x + x}

Add similar elements:

- 3 x + x = - 2 x

= e^{- 2 x}

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Frequently Asked Questions (FAQ)

What is (e^{-3x})/(e^{-x)} ?
The solution to (e^{-3x})/(e^{-x)} is e^{-2x}