What is (e^{5x})/(e^{25x)} ?

The solution to (e^{5x})/(e^{25x)} is e^{-20x}

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simplify (e^{5x})/(e^{25x)}

simplify

\frac{e ^{5 x}}{e ^{25 x}}

e^{- 20 x}

Solution steps

\frac{e ^{5 x}}{e ^{25 x}}

Apply exponent rule:

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

= e^{5 x - 25 x}

Add similar elements:

5 x - 25 x = - 20 x

= e^{- 20 x}

\frac{d}{d t} (e^{s t})

\frac{π}{2} e^{- 5 \cdot (- 0.15)}

(1 - q e^{t})^{- k}

1.4488 (1 0^{8})^{- 0.023}