6x^(1/4)×[-3x^(1/4)y^(-1/3)]÷[-9x^(-1/2)y^(-2/3) ]
=(-18)x^(1/4+1/4)×y^(-1/3)÷{(-9)*1/[x^(1/2)×y^(2/3)]
=(-18)÷(-9) x^(1/2)×y^(-1/3)×x^(1/2)×y^(2/3)
=2xy^(1/3)
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