Question

Simplify the expression. (x4y2)1/2 A) 2(x4y2) B) x1/8y1/4 C) x2y D) x8y4 Please help!!!

Answer 1

C.
`x^2y`

Explanation:

Given the expression
`(x^4y^2)^{(1)/(2) }\\`

Using the law of indices;

`(a^m)^n = a^(mn)`

`(x^4y^2)^{(1)/(2) }\\\\= (x^4)^{(1)/(2)} (y^2)^{(1)/(2) }\\= x^(4*1/2)y^(2*1/2)\\= x^(2)y`

Hence the correct answer is
`x^2y`