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

asked Apr 8, 2021 86.5k views

3 votes

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

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

by Yammi

8.5k points

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5 votes

Answer:

Explanation:

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

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

Nihal Sharma answered Apr 13, 2021