simplify (7/x)^{-3}

Solution

simplify

(\frac{7}{x})^{- 3}

\frac{x ^{3}}{343}

Solution steps

(\frac{7}{x})^{- 3}

Apply exponent rule:

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

(\frac{7}{x})^{- 3} = \frac{1}{( \frac{7}{x} ) ^{3}}

= \frac{1}{( \frac{7}{x} ) ^{3}}

Simplify

(\frac{7}{x})^{3} : \frac{343}{x ^{3}}

= \frac{1}{\frac{343}{x ^{3}}}

Apply the fraction rule:

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

= \frac{x ^{3}}{343}

\frac{2 ( - 2 h + 4 ) - 5}{3 h}

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

\frac{m ^{3} n ^{- 2} p ^{4}}{m ^{5} n ^{7} p ^{- 2}}

(\frac{a ^{2389} b ^{3895}}{c ^{1789}}) 1

2 a^{2} - \frac{a ^{3}}{3} - \frac{a ^{4}}{4}