Answer:

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Step-by-step explanation:

Let's solve the equation 3x - y = 12 for y:

3x - y = 12

y = 3x - 12

Now, we can substitute this expression for y into the given expression 8^x / 2^y:

8^x / 2^(3x - 12)

Now, we can use the properties of exponents to simplify this:

8^x / (2^3x * 2^(-12))

8^x / (2^(3x - 12))

Now, we can see that the expression 8^x / 2^(3x - 12) is equal to 2^(3x) / 2^(3x - 12).

Using the properties of exponents, when you divide two numbers with the same base (2 in this case) and different exponents, you subtract the exponents:

2^(3x - (3x - 12)) = 2^(12)

So, the value of 8^x / 2^y is 2^12, which corresponds to option A.

So, the correct answer is A) 2^12.