I trust you know the basic rules of multiplying fractions, and the rules of exponents.
[ 6x^(-1/2) y^(2/3) / 18x^(-1) ] [ 2y^(1/4) / x^(1/3) ]
= [12 x^(-1/2) y^(2/3 + 1/4)] / [18 x^(1/3 - 1)]
= [2 x^(-1/2) y^(11/12)] / [3 x^(-2/3)]
= [2 x^(2/3 - 1/2) y^(11/12)] / 3
= [2 x^(1/6) y^(11/12)] / 3
[ 6x^(-1/2) y^(2/3) / 18x^(-1) ] [ 2y^(1/4) / x^(1/3) ]
= [12 x^(-1/2) y^(2/3 + 1/4)] / [18 x^(1/3 - 1)]
= [2 x^(-1/2) y^(11/12)] / [3 x^(-2/3)]
= [2 x^(2/3 - 1/2) y^(11/12)] / 3
= [2 x^(1/6) y^(11/12)] / 3