Question

A and b are positive integers and a−b = 2. Evaluate the following: 4^(1/2a) / 2^b

Answer 1

Answer:

4

Step-by-step explanation:

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

$\frac{4^{\frac{1}{2} a} }{2^b}\\=\frac{(2^{2})^{\frac{1}{2}a} }{2^b}\\=\frac{2^{2 \times \frac{1}{2}a } }{2^b} \\=\frac{2^a}{2^b} \\=2^{a-b} \\=2^2\\=4$