Answer
$36$
Work Step by Step
First, we will simplify the expression within the parenthesis by finding the least common denominator:
$(\frac{1}{2}-\frac{1}{3})^{-2}$
=$(\frac{1(3)-1(2)}{6})^{-2}$
=$(\frac{3-2}{6})^{-2}$
=$(\frac{1}{6})^{-2}$
Next, we raise both the numerator and the denominator to the power of $-2$ and simplify:
$(\frac{1}{6})^{-2}=\frac{1^{-2}}{6^{-2}}=\frac{6^{2}}{1^{2}}=36$
