Answer
$\frac{8}{29}$
Work Step by Step
First plug in the numbers into the equation
$\frac{(-2)^{2}+\sqrt (9+7)}{|3(9)+2|}$
Then simplify (remember that multiplication and division always go in front of addition and substraction)
$\frac{4+\sqrt 16}{27+2}$
Then find the square root of 16 and continue simplifying
$\frac{8}{29}$