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

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

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

simplify

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

\frac{e ^{- 2 x} + sin ( x )}{e ^{2 x}}

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{2 x}} (e^{- 2 x} + sin (x))

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( e ^{- 2 x} + sin ( x ) )}{e ^{2 x}}

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

= \frac{e ^{- 2 x} + sin ( x )}{e ^{2 x}}

- 3.22 \cdot 1 0^{- 9}

\frac{( x - 1 ) ^{4}}{x ^{4}}

\frac{3 ^{24}}{2 ^{24}}

y e^{- t}

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