Answer:
D 7x( x^2y) ^1/3
Step-by-step explanation:
5x (x^2y)^1/3 +2 (x^5y)^1/3
We can simplify the second term
2 (x^5y)^1/3 = 2 (x^3 * x^2y) ^1/3
We know that (a*b) ^c = a^c * b^c
2 (x^3 * x^2y) ^1/3 = 2 (x^3 )^1/3*( x^2y) ^1/3
2*x*( x^2y) ^1/3
Replacing this into the original equation
5x (x^2y)^1/3 +2x( x^2y) ^1/3
The term inside the cube root is the same, so we can add the terms on the outside
(5x+2x) 2x( x^2y) ^1/3
(7x)( x^2y) ^1/3
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