Final answer:
The function with a simplified base of 4^374 is option A. 2^748.
Step-by-step explanation:
The function with a simplified base of 4^374 is option A. 2^748.
To simplify the base, we need to find a power of 2 that is equal to 4. Since 2^2 = 4, we can rewrite 4^374 as (2^2)^374 = 2^(2*374) = 2^748.
Therefore, option A is the correct answer.