What is expand (arccosh(e^{-x}))/(e^{-x)} ?

The solution to expand (arccosh(e^{-x}))/(e^{-x)} is e^xarccosh(e^{-x})

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expand (arccosh(e^{-x}))/(e^{-x)}

expand

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

e^{x} arccosh (e^{- x})

Solution steps

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

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

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

Apply the fraction rule:

\frac{a}{1} = a

= arccosh (e^{- x}) e^{x}

\frac{1}{( s + 9 ) ( s ^{2} + k ^{2} )}

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

(3 x^{2} - 1) d x

- sin (t) θ (t - \frac{π}{2})

(- 3 n + 1 \circ - 2 n - 3) (3)

What is expand (arccosh(e^{-x}))/(e^{-x)} ?
The solution to expand (arccosh(e^{-x}))/(e^{-x)} is e^xarccosh(e^{-x})