If #(w,x,y,z)means you raise w,x,and y to the power of z and then take the sum of the resulting values ande # (8,10,11,z)=3,then for all positive values of z, then z=?

please explain how to do that

Then

8^z + 10^z + 11^z = 3

by the "just look at it" theorem,
z = 0

since (anything)^0 = 1