Question

A and b are positive integers and a−b = 2. Evaluate the following:

4^(1/2a) / 2^b

Answer 1

4

Explanation:

4^(1/2a)/2^b

`\frac{4^{(1)/(2) a} }{2^b}\\=\frac{(2^(2))^{(1)/(2)a} }{2^b}\\=\frac{2^{2 * (1)/(2)a } }{2^b} \\=(2^a)/(2^b) \\=2^(a-b) \\=2^2\\=4`