What is (e^{-1000x})/(e^{-2000x)} ?

The solution to (e^{-1000x})/(e^{-2000x)} is e^{1000x}

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simplify (e^{-1000x})/(e^{-2000x)}

simplify

\frac{e ^{- 1000 x}}{e ^{- 2000 x}}

e^{1000 x}

Solution steps

\frac{e ^{- 1000 x}}{e ^{- 2000 x}}

Apply exponent rule:

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

= e^{- 1000 x - (- 2000 x)}

Apply rule

- (- a) = a

= e^{- 1000 x + 2000 x}

Add similar elements:

- 1000 x + 2000 x = 1000 x

= e^{1000 x}

e^{9 x} e^{x}

0.03 e^{- 9.21}

a^{- l n (a)}

9.950248756 \cdot 1 0^{- 9}

e^{3 l n (y)} e^{l n (u + 1)}

What is (e^{-1000x})/(e^{-2000x)} ?
The solution to (e^{-1000x})/(e^{-2000x)} is e^{1000x}