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Popular >

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

Solution

simplify

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

Solution

e^{- 2 t}

Solution steps

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

Apply exponent rule:

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

= e^{t - 3 t}

Add similar elements:

t - 3 t = - 2 t

= e^{- 2 t}

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Frequently Asked Questions (FAQ)

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