Question

If 3x−y=12, what is the value of 8x2y?

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

Answer 1

Answer:

If 3x-y=12; find 8^x/2^y. The answer is 2^12, but how?

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Hey! Its me, again

I thank the OP for this question

OK. So, first. By the laws if exponents,

abac=ab−c

And

abc=ab∗c

8=23

So,

8x2y=23x2y

=23x−y

Since 3x-y = 12,

The answer is

212

Thanks!

Answer 2

$\huge \bf \mathcal{QUESTION}$

If 3x−y=12, what is the value of 8x2y?

A) 212

B) 44

C) 82

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

$\huge \bf \mathcal{ANSWER}$

A) 212

$\huge \bf \mathcal{EXPLANATION}$

The answer lies in the question itself.

In the equation, we have

3x - y = 12.

This means 3x = 12 + y.

We have to find 8^x/2^y.

8 can be written as 2^3. Therefore, 8^x = 2^3x.

But 3x = 12 + y, hence can be replaced.

Now we have, in the fraction, 2^(12 + y)/2^y.

This can be written as 2^(12 + y - y) = 2^12.

This is your answer.

$\huge \bf \mathfrak\red{Hope\:It\:Helps}$