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:
$(-2/9)^{2}$= ($2^{2})$/($9^{2}$)=4/81
Note, 4/81 is positive because when something is raised to the second power, it is the same as multiplying that thing by itself. A negative times a negative is a positive, so -2/9 squared, therefore, must be positive.
