## Elementary Algebra

$\frac{1}{36}$
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: $\frac{1}{36}$