Question

$if \: 3x - y = 12 \: what \: is \: the \: value \: of$
$\frac{ {8}^{x} }{{2}^{y} }$

A) 212
B) 44
C) 82
D) The value cannot be determined from the information given.​

Answer 1

Step-by-step 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 by 2y gives

which can be rewritten

2^3x by 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 by 2y

=2^12

THE FINAL ANSWER IS (A)

Answer 2

Answer:

your answer is in the image