What is (e^{-8t})/(e^{-5t)} ?

The solution to (e^{-8t})/(e^{-5t)} is e^{-3t}

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simplify (e^{-8t})/(e^{-5t)}

simplify

\frac{e ^{- 8 t}}{e ^{- 5 t}}

e^{- 3 t}

Solution steps

\frac{e ^{- 8 t}}{e ^{- 5 t}}

Apply exponent rule:

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

= e^{- 8 t - (- 5 t)}

Apply rule

- (- a) = a

= e^{- 8 t + 5 t}

Add similar elements:

- 8 t + 5 t = - 3 t

= e^{- 3 t}

11.702 (1.663 5^{- 0.7334})

1 - x^{2} 1 - 4 x^{2}

4 x - 11 2 x

(\frac{1}{2}) e^{- 2}

1 \cdot 3. 6^{- 6}