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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

e^{x} (\frac{1}{17} e^{17 x})

C^{2} H^{2}

f \circ g^{- 1}

(6 x)^{3}

n \cdot 4 n + 1

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