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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

e^{- 2 x} e^{x} = e^{- 2 x + x}

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

Add similar elements:

- 2 x + x = - x

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

(\frac{20736}{24}) e^{- 12}

(\frac{( 4 ^{1} ) ^{- 1}}{1 6 ^{2}})^{- 6}

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

0^{2} \cdot e^{- 0}

- \frac{n + 1}{n}