Express 4x÷2x+1as power of 2

Answer 1

4x ÷ 2x + 1 can be written as:

(4x) / (2x + 1)

To express this as a power of 2, we need to get a common base. We can rewrite 4x as 2^(2) * x and 2x as 2 * x.

So, the expression becomes:

(2^(2) * x) / (2 * x + 1)

Now, we can simplify this expression further by using the properties of exponents:

= 2^(2) / (1 + 1/2x)

= 2^(2) / (2/2 + 1/2x)

= 2^(2) / (2(1 + 1/2x))

= 2^(2) / 2(2x + 1)

Therefore, 4x ÷ 2x + 1 can be expressed as:
2^(2) / 2(2x + 1)