Final answer:
The fraction in its simplest form is 9/4.
Step-by-step explanation:
The question asks us to compute 3/2 to the power of 2 and express it as a fraction in its simplest form.
To do that, we square both the numerator and denominator separately.
Squaring the numerator (3 squared) gives us 9, and squaring the denominator (2 squared) gives us 4.
Therefore, the fraction in its simplest form is 9/4.