If 4x – y = 12. What is the value of 16^{x} / 2^{y}

^{12}

(B) 4

^{4}

(C) 8

^{2}

(D) The value cannot be determined from the information given.

Solution:

**Choice A is correct.**

16^{x} / 2^{y}

^{4x}/ 2

^{y}= 2

^{4x-y}

Now 4x – y = 12 (given in the question)

Therefore, 16^{x}/ 2

^{y}= 2

^{12}, which is Option A.