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

The solution to simplify-e^{-x}*(-2)e^{-2x} is 2e^{-3x}

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

simplify

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

2 e^{- 3 x}

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

- x - 2 x = - 3 x

= - (- 2) e^{- 3 x}

Apply rule

- (- a) = a

= 2 e^{- 3 x}

19 x (m x^{m - 1})

0.1 e^{- (0.1)}

(6 x^{6}) (4 x^{3})

(13.2 x 1 0^{4}) x (2 x 1 0^{5})

60 e^{- 0.81 (1)}

What is simplify-e^{-x}*(-2)e^{-2x} ?
The solution to simplify-e^{-x}*(-2)e^{-2x} is 2e^{-3x}