# How do you simplify \frac { x ^ { 7} y ^ { - 5} } { ( 2x ) ^ { 3} }?

Aug 3, 2017

${x}^{4} / \left(8 {y}^{5}\right)$

#### Explanation:

$\frac{{x}^{7} {y}^{-} 5}{2 x} ^ 3$

Remove the bracket first - cube everything in the bracket

$= \frac{{x}^{7} \textcolor{b l u e}{{y}^{-} 5}}{8 {x}^{3}}$

Simplify: subtract the indices of $x$ and make the index of $y$ positive

x^4/(8color(blue)(y^5)