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

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

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

simplify

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

e^{- 4 x} sin (x)

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

- 2 x - 2 x = - 4 x

= sin (x) e^{- 4 x}

(e^{x})^{- 1}

\frac{1}{2} (8.85 \cdot 1 0^{- 12}) (4230.454 8^{2})

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

det ((2 A)^{2} B^{T})^{- 1}

What is e^{-2x}sin(x)*e^{-2x} ?
The solution to e^{-2x}sin(x)*e^{-2x} is e^{-4x}sin(x)