Final answer:
The electric potential in the given region is -84 V.
Step-by-step explanation:
The electric potential in the given region is given by the equation v = ax²y - bxy², where a = 5.00 V/m³ and b = 8.00 V/m³. To find the electric potential, we substitute the values of a, b, x, and y into the equation and perform the calculation. Let's say x = 2 m and y = 3 m:
v = (5.00)(2²)(3) - (8.00)(2)(3²)
v = 60 - 144
v = -84 V
Therefore, the electric potential in the given region is -84 V.