What is simplify-(e^{-x})/(e^{-2x)} ?

The solution to simplify-(e^{-x})/(e^{-2x)} is -e^x

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simplify-(e^{-x})/(e^{-2x)}

simplify

- \frac{e ^{- x}}{e ^{- 2 x}}

- e^{x}

Solution steps

- \frac{e ^{- x}}{e ^{- 2 x}}

Apply exponent rule:

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

= - e^{- x - (- 2 x)}

Apply rule

- (- a) = a

= - e^{- x + 2 x}

Add similar elements:

- x + 2 x = x

= - e^{x}

3 + 2 \cdot 3 - 2

e^{(- 150 \cdot 720 \cdot 1 0^{- 6})}

5^{2} 0. 5^{- 6}

9.8 \cdot (60.11 \cdot 1 0^{- 3}) \cdot 0.085

2 \cdot t \cdot e^{- 5 \cdot t}

What is simplify-(e^{-x})/(e^{-2x)} ?
The solution to simplify-(e^{-x})/(e^{-2x)} is -e^x