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

1 Answer
Aug 3, 2017

x^4/(8y^5)

Explanation:

(x^7y^-5)/(2x)^3

Remove the bracket first - cube everything in the bracket

=(x^7color(blue)(y^-5))/(8x^3)

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

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