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Popular >

simplify (e^{-3t})/(e^t)

Solution

simplify

\frac{e ^{- 3 t}}{e ^{t}}

Solution

e^{- 4 t}

Solution steps

\frac{e ^{- 3 t}}{e ^{t}}

Apply exponent rule:

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

= e^{- 3 t - t}

Add similar elements:

- 3 t - t = - 4 t

= e^{- 4 t}

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Frequently Asked Questions (FAQ)

What is (e^{-3t})/(e^t) ?
The solution to (e^{-3t})/(e^t) is e^{-4t}