Suppose z\displaystyle {z} varies directly with x\displaystyle {x} and inversely with the square of y\displaystyle {y}. If z=16\displaystyle {z}={16} when x=4\displaystyle {x}={4} and y=2\displaystyle {y}={2}, what is z\displaystyle {z} when x=9\displaystyle {x}={9} and y=8\displaystyle {y}={8}?
z=\displaystyle {z}=