simplify (2/x)^{-3}

Solution

simplify

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

\frac{x ^{3}}{8}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(\frac{2}{x})^{3} : \frac{8}{x ^{3}}

= \frac{1}{\frac{8}{x ^{3}}}

Apply the fraction rule:

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

= \frac{x ^{3}}{8}

\frac{3}{7} - \frac{1}{7}

- 90 - 60 w

- 5 y - 5 x + 5 y + 5 y - x + 2 - 2

2 x - 6 y + 3 x^{2} + 7 y - 14 x

\frac{1}{3 - 5}