Answer
4/81
Work Step by Step
When a fraction is raised to a power, we distribute that power to both the numerator (the top of the fraction) and the denominator (the bottom of the fraction). Thus, we obtain:
$(-2/9)^{2}$= ($-2^{2})$/($9^{2}$)
$-2^{2}$ means -2 multiplied by itself, and $9^{2}$ means three multiplied by itself, so we find:
($-2^{2})$/($9^{2}$)= 4/81
