x^4y^7/ (x^10y^4)^1/3
power to a power means multiply
x^4y^7/ (x^(10*1/3)y^(4*1/3)
x^4y^7/ (x^(10/3)y^(4/3)
exponents divided by exponents means subtract the exponents
x^(4-10/3) y^(7-4/3)
x^(12/3-10/3) y^(21/3 - 4/3)
x^ (2/3) y^ (17/3)
x^ (2/3) y^ (5 2/3)
x^ (2/3) y^ (5 +2/3)
exponents added are the terms multiplied
(x^ 2/3 y^ 5 y ^ 2/3)
y^ 5 (x^ 2/3 y ^ 2/3)
we can take the 1/3 back out
y^5 ( x^2 y^2) ^ 1/3
Choice D
