What is (e^{-6x})/(e^{6x)} ?

The solution to (e^{-6x})/(e^{6x)} is e^{-12x}

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simplify (e^{-6x})/(e^{6x)}

simplify

\frac{e ^{- 6 x}}{e ^{6 x}}

e^{- 12 x}

Solution steps

\frac{e ^{- 6 x}}{e ^{6 x}}

Apply exponent rule:

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

= e^{- 6 x - 6 x}

Add similar elements:

- 6 x - 6 x = - 12 x

= e^{- 12 x}

e^{- 2 t} sin (wt)

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- 48456 e^{- 304821217}