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Popular >

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

Solution

simplify

\frac{1}{1 + e ^{- 3}}

Solution

\frac{e ^{3}}{e ^{3} + 1}

+1

Decimal Notation

0.95257 \dots

Solution steps

\frac{1}{1 + e ^{- 3}}

Apply exponent rule:

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

= \frac{1}{1 + \frac{1}{e ^{3}}}

Join

1 + \frac{1}{e ^{3}} : \frac{e ^{3} + 1}{e ^{3}}

= \frac{1}{\frac{e ^{3} + 1}{e ^{3}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{e ^{3}}{e ^{3} + 1}

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Frequently Asked Questions (FAQ)

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