Final answer:
The value of 4(3x)² / (2x)² is 9.
Step-by-step explanation:
To find the value of the given expression, we can simplify by canceling out common factors in the numerator and denominator. The expression 4(3x)² can be further simplified as 36x², and (2x)² can be simplified as 4x². So, the expression becomes:
36x² / 4x²
Now, we can cancel out the common factor of x² from both the numerator and denominator, leaving us with:
36 / 4
Finally, evaluating the division, we get the value:
9