To solve the given expression, we have:
\[ \frac{(5-27)^2}{(4-3)^2} \]
First, we simplify each part of the expression:
Calculate \( (5-27) \): \[ 5 - 27 = -22 \]
Square the result: \[ (-22)^2 = 484 \]
Calculate \( (4-3) \): \[ 4 - 3 = 1 \]
Square the result: \[ 1^2 = 1 \]
Now, divide the squared results: \[ \frac{484}{1} = 484 \]
So, the value of the expression is 484.