Question

Which on the following is equivalent to (a 1/2 * b 1/2) ^1/2 ?

Answer 1

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

Explanation:

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

We know that we can separate the terms

a^1/2 ^1/2 * b^1/2 ^1/2

We also know that a^b^c = a^(b*c)

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

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