Question

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

Answer 1

Answer:

a^(1/4)  * b^(1/4)

Step-by-step 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)