What is ((-x^3)^2)/((-x)^{-3)} ?

The solution to ((-x^3)^2)/((-x)^{-3)} is -x^9

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simplify ((-x^3)^2)/((-x)^{-3)}

simplify

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

- x^{9}

Solution steps

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

Simplify

(- x^{3})^{2} : x^{6}

= \frac{x ^{6}}{( - x ) ^{- 3}}

Simplify

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

= \frac{x ^{6}}{- \frac{1}{x ^{3}}}

Apply the fraction rule:

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

= - \frac{x ^{6}}{\frac{1}{x ^{3}}}

Apply the fraction rule:

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

\frac{x ^{6}}{\frac{1}{x ^{3}}} = \frac{x ^{6} x ^{3}}{1}

= - \frac{x ^{6} x ^{3}}{1}

Cancel

- \frac{x ^{6} x ^{3}}{1} : - x^{9}

= - x^{9}

(1 + \frac{1}{5})^{5}

1 + tan^{2} (a)

(2 m - 5) (2 m - 3) - (m^{2} + 5 m)

2 x^{3} + 2 x^{3}

\frac{5}{12} + \frac{7}{18} - \frac{1}{6} + \frac{4}{9}