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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

2.3 \times 1 0^{- 8}

3 (7)^{2}

f (0, 8.5) f^{1} (0, - 8.5)

e^{- 10} (6 - 5 e^{- 2})

6 e^{- \frac{1}{6}}

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