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

1 Answer
EZ as pi
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)#

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