What is (e^{-10x})/(e^{-100x)} ?

The solution to (e^{-10x})/(e^{-100x)} is e^{90x}

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simplify (e^{-10x})/(e^{-100x)}

simplify

\frac{e ^{- 10 x}}{e ^{- 100 x}}

e^{90 x}

Solution steps

\frac{e ^{- 10 x}}{e ^{- 100 x}}

Apply exponent rule:

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

= e^{- 10 x - (- 100 x)}

Apply rule

- (- a) = a

= e^{- 10 x + 100 x}

Add similar elements:

- 10 x + 100 x = 90 x

= e^{90 x}

19050 e^{- 0.05 (33)}

e^{c o s (x)} \cdot e^{c o s (x)}

(10 d e f) (5 d^{2} e^{4})

\frac{( n + 1 ) ^{40}}{n ^{40}}

What is (e^{-10x})/(e^{-100x)} ?
The solution to (e^{-10x})/(e^{-100x)} is e^{90x}