simplify 9/(x^{-4)}

Solution

simplify

\frac{9}{x ^{- 4}}

9 x^{4}

Solution steps

\frac{9}{x ^{- 4}}

Apply exponent rule:

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

x^{- 4} = \frac{1}{x ^{4}}

= \frac{9}{\frac{1}{x ^{4}}}

Apply the fraction rule:

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

= \frac{9 x ^{4}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 9 x^{4}

\frac{5 x}{x ^{2} + 4 x - 12} - \frac{4}{x - 2}

\frac{( - x ^{3} ) ^{2}}{( - x ) ^{- 3}}

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