What is (3/(1+e^x))*e^{-2x} ?

The solution to (3/(1+e^x))*e^{-2x} is 3/(e^{2x)(e^x+1)}

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simplify (3/(1+e^x))*e^{-2x}

simplify

(\frac{3}{1 + e ^{x}}) \cdot e^{- 2 x}

\frac{3}{e ^{2 x} ( e ^{x} + 1 )}

Solution steps

(\frac{3}{1 + e ^{x}}) e^{- 2 x}

Apply exponent rule:

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

= \frac{3}{e ^{x} + 1} \cdot \frac{1}{e ^{2 x}}

Multiply fractions:

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

= \frac{3 \cdot 1}{( 1 + e ^{x} ) e ^{2 x}}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{3}{e ^{2 x} ( e ^{x} + 1 )}

(2.13 \cdot 1 0^{7}) \cdot (8.485 \cdot 1 0^{- 11})

e^{- l n (\frac{x}{y})}

(3) (6.58286 \cdot 1 0^{- 19})

e^{- 300 l n (90 - x)}

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

What is (3/(1+e^x))*e^{-2x} ?
The solution to (3/(1+e^x))*e^{-2x} is 3/(e^{2x)(e^x+1)}