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Popular >

simplify (e^{-2x})/(e^{-3x)}

Solution

simplify

\frac{e ^{- 2 x}}{e ^{- 3 x}}

Solution

e^{x}

Solution steps

\frac{e ^{- 2 x}}{e ^{- 3 x}}

Apply exponent rule:

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

= e^{- 2 x - (- 3 x)}

Apply rule

- (- a) = a

= e^{- 2 x + 3 x}

Add similar elements:

- 2 x + 3 x = x

= e^{x}

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Frequently Asked Questions (FAQ)

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