Evaluate the powers of the fractions and express the answer as a fraction reduced to lowest terms.
(1/3)^2 ÷ (1/2)^2=
To evaluate the powers of the fractions and express the answer as a fraction reduced to lowest terms, we can simplify the fractions, raise them to their respective powers, and then divide.
(1/3)^2 ÷ (1/2)^2 = (1/9) ÷ (1/4)
To divide one fraction by another, we can multiply the first fraction by the reciprocal of the second fraction.
(1/9) ÷ (1/4) = (1/9) x (4/1) = 4/9
Therefore, (1/3)^2 ÷ (1/2)^2 = 4/9.