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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)}

Apply rule

- (- a) = a

= 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}