simplify 1/(x^{-7)}

Solution

simplify

\frac{1}{x ^{- 7}}

x^{7}

Solution steps

\frac{1}{x ^{- 7}}

Apply exponent rule:

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

x^{- 7} = \frac{1}{x ^{7}}

= \frac{1}{\frac{1}{x ^{7}}}

Apply the fraction rule:

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

= \frac{x ^{7}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= x^{7}

(\frac{1}{2})^{- 2} + (\frac{1}{3})^{- 3}

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