Final answer:
The electric potential at the point where x = 2 m and y = 3 m is calculated by substituting the values into the given expression, resulting in an electric potential of -1380 volts.
Step-by-step explanation:
The question asks us to find the electric potential at a specific point where x = 2 m and y = 3 m in a region where the electric potential V is given by the expression V = (150x² - 220y²) V. To calculate this, we simply substitute the given values of x and y into the expression.
Substituting the values, we have:
V = (150(2 m)² - 220(3 m)²) V
V = (150(4 m²) - 220(9 m²)) V
V = (600 - 1980) V
V = -1380 V.
Therefore, the electric potential at the point where x = 2 m and y = 3 m is -1380 volts.