Question

Please help this sat math problem got me stumped

Answer 1

option A

Explanation:

`3x-y=12\\ =>3x = 12+y\\=>x=(y+12)/(3)`

Putting the value of x in
`(8^(x) )/(2^(y) )` gives :-

`(8^(y+12)/(3) )/(2^y) = (2^3((y+12)/(3) ))/(2^y) = (2^(y+12) )/(2^y) = 2^(y+12-y)=2^(12)`

Answer 2

2^12 :)

You can re-write the fraction as:
((2^3)^x) / 2^y

Rule for dividing powers gives us:
2^(3x-y)

But we know 3x-y=12, so answer A
Let me know if you want workings out on paper :)