Answer :

To determine the value of [tex]\(\frac{3^2}{2^2}\)[/tex],

1. Calculate the value of [tex]\(3^2\)[/tex]:
[tex]\[ 3^2 = 3 \times 3 = 9 \][/tex]

2. Calculate the value of [tex]\(2^2\)[/tex]:
[tex]\[ 2^2 = 2 \times 2 = 4 \][/tex]

3. Form the fraction using the calculated values:
[tex]\[ \frac{3^2}{2^2} = \frac{9}{4} \][/tex]

So, the value of [tex]\(\frac{3^2}{2^2}\)[/tex] is [tex]\(\frac{9}{4}\)[/tex].

The correct answer is:
[tex]\[ \boxed{\frac{9}{4}} \][/tex]