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

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

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

simplify

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

e^{x} x

Solution steps

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

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

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

Apply the fraction rule:

\frac{a}{1} = a

= e^{x} x

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