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Popular >

simplify (e^{-4t})/(e^{-5t)}

Solution

simplify

\frac{e ^{- 4 t}}{e ^{- 5 t}}

Solution

e^{t}

Solution steps

\frac{e ^{- 4 t}}{e ^{- 5 t}}

Apply exponent rule:

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

= e^{- 4 t - (- 5 t)}

Apply rule

- (- a) = a

= e^{- 4 t + 5 t}

Add similar elements:

- 4 t + 5 t = t

= e^{t}

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Frequently Asked Questions (FAQ)

What is (e^{-4t})/(e^{-5t)} ?
The solution to (e^{-4t})/(e^{-5t)} is e^t