If 3x - y = 12, what is the value of 8^x/2^y

2^12

Step-by-step explanation:

The answer lies in the question itself.

In the equation, we have

3x - y = 12.

This means 3x = 12 + y.

We have to find 8^x/2^y.

8 can be written as 2^3. Therefore, 8^x = 2^3x.

But 3x = 12 + y, hence can be replaced.

Now we have, in the fraction, 2^(12 + y)/2^y.

This can be written as 2^(12 + y - y) = 2^12.

This is your answer.

2^12

Step-by-step explanation:

Express 8^x as (2^3)^x

With common bases you have 3x - y = 12

So the answer is 2^12