1. The problem asks for the equivalent value of the expression involving numbers 16, 64, 8, and 12. 2. We need to clarify the operation or function connecting these numbers but since only numbers are given, we will assume the question is to find relationships or simplifications among them. 3. Let's compare these numbers by prime factorization: - $16 = 2^4$ - $64 = 2^6$ - $8 = 2^3$ - $12 = 2^2 \times 3$ 4. We can see that $16$, $64$, and $8$ are all powers of $2$, while $12$ includes a factor of $3$. 5. If the function implied is to find a number equivalent or related by powers, for example, the function $f(n) = \log_2(n)$, then - $f(16) = 4$ - $f(64) = 6$ - $f(8) = 3$ - $f(12) = \log_2(12)$ which is about 3.58 6. Without additional context, the equivalent value or function cannot be determined exactly. If the user can provide the function or operation connecting these numbers, we can calculate the equivalent value accordingly.