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Popular >

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

Solution

simplify

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

Solution

e^{5 x}

Solution steps

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

Apply exponent rule:

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

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

Apply rule

- (- a) = a

= e^{3 x + 2 x}

Add similar elements:

3 x + 2 x = 5 x

= e^{5 x}

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Frequently Asked Questions (FAQ)

What is (e^{3x})/(e^{-2x)} ?
The solution to (e^{3x})/(e^{-2x)} is e^{5x}