Question

HELP!!!!!!

If 3x−y=12, what is the value of 8x/2y?

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

Answer 1

Option A is correct.

The value of
`(8^x)/(2^y)` is;
`2^(12)`

Explanation:

Given, if the equation: 3x -y = 12

Then find the value of
`(8^x)/(2^y)`

we can write
`(8^x)/(2^y)` as:

`((2^3)^x)/(2^y)` [
`8 = 2* 2* 2 = 2^3` ]

`(2^(3x))/(2^y)` [
`(a^n)^m = a^(nm)` ]

`2^(3x-y)` [
`(a^n)/(a^m) =a^(n-m)` ]

Put the value of 3x -y =12

then we have;

`2^(12)`

Therefore, the value of
`(8^x)/(2^y)` is;
`2^(12)`