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Popular >

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

Solution

simplify

(e^{x} + e^{- x})^{- 1}

Solution

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

Solution steps

(e^{x} + e^{- x})^{- 1}

Apply exponent rule:

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

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

Remove parentheses:

(a) = a

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

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Frequently Asked Questions (FAQ)

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