Answer:
[tex] \frac{ {( {x}^{2} {y}^{4}z) }^{5} }{x {y}^{2} } = \frac{ {x}^{2 \times 5} {y}^{4 \times 5} {z}^{5} }{x {y}^{2} } \\ \\ \\ = \frac{ {x}^{10} {y}^{20} {z}^{5} }{x {y}^{2} } = \frac{x {y}^{2}( {x}^{9} {y}^{18} {z}^{5} )}{x {y}^{2} } \\ \\ \\ = {x}^{9} {y}^{18} {z}^{5} [/tex]
I hope I helped you^_^
