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Popular >

simplify (e^{-t})/(e^{2t)}

Solution

simplify

\frac{e ^{- t}}{e ^{2 t}}

Solution

e^{- 3 t}

Solution steps

\frac{e ^{- t}}{e ^{2 t}}

Apply exponent rule:

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

= e^{- t - 2 t}

Add similar elements:

- t - 2 t = - 3 t

= e^{- 3 t}

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Frequently Asked Questions (FAQ)

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