simplify 1/(x^{-a)}

Solution

simplify

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

x^{a}

Solution steps

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

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

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

Apply the fraction rule:

\frac{a}{1} = a

= x^{a}

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