What is (e^{-0.05t})/(e^{0.2t)} ?

The solution to (e^{-0.05t})/(e^{0.2t)} is e^{-0.25t}

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simplify (e^{-0.05t})/(e^{0.2t)}

simplify

\frac{e ^{- 0.05 t}}{e ^{0.2 t}}

e^{- 0.25 t}

Solution steps

\frac{e ^{- 0.05 t}}{e ^{0.2 t}}

Apply exponent rule:

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

= e^{- 0.05 t - 0.2 t}

Add similar elements:

- 0.05 t - 0.2 t = - 0.25 t

= e^{- 0.25 t}

e^{x^{6}}

(6)^{2^{^{'}}}

5.49 \cdot 1 0^{- 3}

e^{- 1.23}

3.6 (8.854 \cdot 1 0^{- 12})

What is (e^{-0.05t})/(e^{0.2t)} ?
The solution to (e^{-0.05t})/(e^{0.2t)} is e^{-0.25t}