Final answer:
The value of c, given by a²b² when a = 2 and b = -2, is found to be 16. Calculating c² - 9, the result is 256 - 9, which equals 247.
Step-by-step explanation:
The question involves finding the value of c given by a² b² when a = 2 and b = -2, and then calculating c² - 9. Firstly, we find the value of c by plugging in the values of a and b:
c = a² × b²
c = 2² × (-2)²
c = 4 × 4
c = 16
Next, we find the value of c² - 9:
c² - 9 = 16² - 9
c² - 9 = 256 - 9
c² - 9 = 247
Thus, the value of c² - 9 is 247.