Three x minus y is equal to 12. What is the value of eight to the x over two to the y? Okay? And they give you a bunch of answers, and one of them is you can't even determine that. Okay, we'll see about that. So one way you could actually do this is by converting both the numerator and the denominator to have the same base.
So how can we do that? Well, eight to the X is really just two cubed to the x over two to the y. And you can simplify this further by saying, well, this is just two to the three x over two to the y, which is equal to two to the three x minus y. Remember when we're dividing exponents, we should subtract them. So we have two to the three x minus y. And look at that three x minus y, we're told is just 12.
So in reality, this is just two to the 12th power, which is a