Which rational expression will complete the equation? 4z^5/7 (?) = z^10/14

Answer: The rational expression that is needed is z^5/8.

In the problem, we are starting with 4z^5/7 and multiply by something. Then, we have z^10/14.

First, let's deal with the variables. We go from z^5 to z^10, so we had to multiply by z^5.

Second, our fraction went from 4/7 to 1/14, the missing factor would be 1/8 because 4/7 times 1/8 equals 1/14.