What is (2x^3)/((x^{-1))^3} ?

The solution to (2x^3)/((x^{-1))^3} is 2x^6

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simplify (2x^3)/((x^{-1))^3}

simplify

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

2 x^{6}

Solution steps

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

Simplify

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

= \frac{2 x ^{3}}{\frac{1}{x ^{3}}}

Apply the fraction rule:

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

= \frac{2 x ^{3} x ^{3}}{1}

Cancel

\frac{2 x ^{3} x ^{3}}{1} : 2 x^{6}

= 2 x^{6}

\frac{r + 3 s}{s + r} - \frac{3 s ^{2}}{s ^{2} - r ^{2}} + \frac{r}{s - r}

9 x + 36

(t + a)^{3}

16 - 104 x^{2} + 169 x^{4}

- v + 12 v