What is the simplest form of the expression below? (x^2yz)/(y^2)×(y)/(2x) A. (xz)/(2) B. (2x^3z)/(y^2) C. (x^2z)/(2y^2x) D. z

Question

What is the simplest form of the expression below?


`(x^2yz)/(y^2)`×
`(y)/(2x)`

A.
`(xz)/(2)`
B.
`(2x^3z)/(y^2)`
C.
`(x^2z)/(2y^2x)`
D. z

Answer 1

`\text{A.}\quad(xz)/(2)`

Explanation:

`(x^2yz)/(y^2)*(y)/(2x)=(x^2yzy)/(2xy^2)=(1)/(2)\cdot(x^2)/(x)\cdot(y^2)/(y^2)\cdot(z)/(1)\\\\=(xz)/(2)`