SOLUTION: I want to know how to solve this step by step. The Cube root of ((x^2y^6)/(2x^5)) Please Help Thank you.

Question 228645: I want to know how to solve this step by step. The Cube root of
((x^2y^6)/(2x^5))
Please Help Thank you.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
((x^2y^6)/(2x^5))
Canceling like-term x's:
((y^6)/(2x^3))
((y^2)^3/6(2x^3))
Taking the cube root:
y^2/x * cuberoot(1/2)
Or, this can be written as:
y^2/x * 1/2^(1/3)
Rationalizing:
y^2/x * 1/2^(1/3) * 2^(2/3)/2^(2/3)
y^2/x * 2^(2/3)/2
y^2/x * cuberoot(4)/2
[y^2*cuberoot(4)]/[2x]

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