Final answer:
To find the value of ((2)/(3))²+(1)/(9), we square (2/3) to get (4/9) and then add (1/9), which results in (5/9).
Step-by-step explanation:
The question asks us to find the value of ((2)/(3))²+(1)/(9). First, we calculate the square of (2/3), which gives us (4/9) since (2/3) multiplied by (2/3) equals (4/9). Next, we add this result to (1/9). The addition of (4/9) and (1/9) yields (5/9), because when we add fractions with the same denominator, we simply add the numerators. Therefore, the final answer is 5/9.