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

The solution to simplify-1/2 e^{-2x}e^{-x} is -1/2 e^{-3x}

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

simplify

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

- \frac{1}{2} e^{- 3 x}

Solution steps

- \frac{1}{2} e^{- 2 x} 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 = - 3 x

= - \frac{1}{2} e^{- 3 x}

e^{- l n (x^{- 2})}

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

- 4 x^{3} y^{2} (7 x y^{4})

\frac{e ^{- \frac{4}{1.38}}}{e ^{- \frac{8}{1.38}}}

e^{- 2 (t - a)} U (t - 2 a)

What is simplify-1/2 e^{-2x}e^{-x} ?
The solution to simplify-1/2 e^{-2x}e^{-x} is -1/2 e^{-3x}