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Popular >

simplify (e^{kx})/(e^{-kx)}

Solution

simplify

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

Solution

e^{2 k x}

Solution steps

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

Apply exponent rule:

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

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

Apply rule

- (- a) = a

= e^{k x + k x}

Add similar elements:

k x + k x = 2 k x

= e^{2 k x}

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Frequently Asked Questions (FAQ)

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