simplify z^2 y^6/z^3 y^5

To simplify the expression z^2 y^6/z^3 y^5, we can divide the variables with the same base:

( z^2 y^6 ) / ( z^3 y^5 )

Simplifying each variable separately, we have:

z^2 / z^3 = 1 / z^(3-2) = 1/z
y^6 / y^5 = 1 / y^(5-6) = 1/y^(-1) = y^(1)

Therefore, the simplified expression is 1/z * y.

Note: If desired, you can rewrite it as y/z for the same result.