What is (e^{-x})(1/2 e^{-x}) ?

The solution to (e^{-x})(1/2 e^{-x}) is 1/2 e^{-2x}

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simplify (e^{-x})(1/2 e^{-x})

simplify

(e^{- x}) (\frac{1}{2} e^{- x})

\frac{1}{2} e^{- 2 x}

Solution steps

(e^{- x}) (\frac{1}{2} e^{- x})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- x} e^{- x} = e^{- x - x}

= \frac{1}{2} e^{- x - x}

Add similar elements:

- x - x = - 2 x

= \frac{1}{2} e^{- 2 x}

4.61 \cdot 1 0^{- 6}

e^{- 5110.353}

\frac{( 0.2 + x ) ^{2}}{( 0.2 - x ) ^{2}}

(4 π \cdot 1 0^{- 7}) \cdot (2)

What is (e^{-x})(1/2 e^{-x}) ?
The solution to (e^{-x})(1/2 e^{-x}) is 1/2 e^{-2x}