What is simplify-e^{-x}*e^{-3x} ?

The solution to simplify-e^{-x}*e^{-3x} is -e^{-4x}

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simplify-e^{-x}*e^{-3x}

simplify

- e^{- x} \cdot e^{- 3 x}

- e^{- 4 x}

Solution steps

- e^{- x} e^{- 3 x}

Apply exponent rule:

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

e^{- x} e^{- 3 x} = e^{- x - 3 x}

= - e^{- x - 3 x}

Add similar elements:

- x - 3 x = - 4 x

= - e^{- 4 x}

(5)^{\frac{5}{2}}

(2 a b^{4}) (3 b^{2} c)

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

(2 x^{3}) (3 x^{4}) (2 x^{5})

24 3^{- \frac{4}{5}} \cdot 0.033 \cdot \frac{1}{5}

What is simplify-e^{-x}*e^{-3x} ?
The solution to simplify-e^{-x}*e^{-3x} is -e^{-4x}