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y = 3
[ (x^(-1/2) y^(-2)) / (x^(-1) y^(-1/2)) ]^(2/3)
= (x^(-1/3) y^(-4/3)) / (x^(-2/3) y^(-1/3))
= x^(-1/3 - (-2/3)) y^(-4/3 - (-1/3))
= x^(1/3) y^(-1)
= x^(1/3) / y
= (2^3)^(1/3) / 3
= 2/3