Final answer:
The value of n in the equation 2^16/2^8 = 2^n is 8, following the rule of subtracting exponents with the same base during division.
Step-by-step explanation:
To find the value of n in the equation 2^16/2^8 = 2^n, we use the properties of exponents. When dividing exponents with the same base, we subtract the exponents. Therefore, 16 - 8 = 8. This means that 2^16/2^8 simplifies to 2^8, so the value of n is 8.