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Popular >

simplify (e^{3x})/(e^{-5x)}

Solution

simplify

\frac{e ^{3 x}}{e ^{- 5 x}}

Solution

e^{8 x}

Solution steps

\frac{e ^{3 x}}{e ^{- 5 x}}

Apply exponent rule:

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

= e^{3 x - (- 5 x)}

Apply rule

- (- a) = a

= e^{3 x + 5 x}

Add similar elements:

3 x + 5 x = 8 x

= e^{8 x}

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Frequently Asked Questions (FAQ)

What is (e^{3x})/(e^{-5x)} ?
The solution to (e^{3x})/(e^{-5x)} is e^{8x}