1. The problem is to simplify the expression $$z = (x - y)^2$$ where $$x = 14$$ and $$y = \frac{6}{5}$$. 2. Substitute the values into the expression: $$z = \left(14 - \frac{6}{5}\right)^2$$ 3. To simplify inside the parentheses, find a common denominator: $$14 = \frac{70}{5}$$ 4. So, $$z = \left(\frac{70}{5} - \frac{6}{5}\right)^2 = \left(\frac{70 - 6}{5}\right)^2 = \left(\frac{64}{5}\right)^2$$ 5. Square the fraction: $$z = \frac{64^2}{5^2} = \frac{4096}{25}$$ 6. The simplified value of $$z$$ is $$\frac{4096}{25}$$ or as a decimal, $$163.84$$. Final answer: $$z = \frac{4096}{25}$$ or $$163.84$$.