Final answer:
By substituting the point (-1,1) into the given expression and simplifying, we find that y² is equal to 1.
Step-by-step explanation:
The question asks us to find the value of y² for a given expression at the point (-1,1). The expression given is x⁴ y⁴ + 3x - 2y = -4. To find y², we need to substitute the values of x and y into the equation and solve for y².
First, let's substitute x = -1 and y = 1 into the expression:
((-1)⁴ * (1)⁴) + 3(-1) - 2(1) = -4
This simplifies to:
1 + (-3) - 2 = -4
-4 = -4
Since the equation is balanced, y² is simply 1², which is 1.