Question

PLEASE GIVE COMPLETE EXPLANATION ​

Answer 1

ANSWER EXPLANATION: One approach is to express

8x

2y

so that the numerator and denominator are expressed with the same base. Since 2 and 8 are both powers of 2, substituting 23 for 8 in the numerator of

8x

2y

gives

(23)x

2y

which can be rewritten

23x

2y

Since the numerator and denominator of have a common base, this expression can be rewritten as 2(3x−y). In the question, it states that 3x−y=12, so one can substitute 12 for the exponent, 3x−y, which means that

8x

2y

=212

The final answer is A.