What is (e^{-4x})(2e^{2x}) ?

The solution to (e^{-4x})(2e^{2x}) is 2e^{-2x}

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simplify (e^{-4x})(2e^{2x})

simplify

(e^{- 4 x}) (2 e^{2 x})

2 e^{- 2 x}

Solution steps

(e^{- 4 x}) (2 e^{2 x})

Apply exponent rule:

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

e^{- 4 x} e^{2 x} = e^{- 4 x + 2 x}

= 2 e^{- 4 x + 2 x}

Add similar elements:

- 4 x + 2 x = - 2 x

= 2 e^{- 2 x}

t e^{- 3 t} cos (2 t)

(4 X) (3 X^{2})

- 2.179 \cdot 1 0^{- 18} (\frac{1}{4 ^{2}} - \frac{1}{9 ^{2}})

1.4 \times 1 0^{- 2}

17^{3}