Answer
$\frac{1}{36}$
Work Step by Step
In order to follow order of operations, we will first simplify the expression within the parenthesis, and then we will square the resultant expression:
Step 1: $(\frac{1}{2}-\frac{2}{3})^{2}$
Step 2: $(\frac{1(3)-2(2)}{6})^{2}$
Step 3: $(\frac{3-4}{6})^{2}$
Step 4: $(\frac{-1}{6})^{2}$
Step 5: $\frac{1}{36}$
