Question

Choose the correct simplification of the expression (x2y)2.

Answer 1

The answer is C. x4y2

Answer 2

Answer:  The correct option is (C) $x^4y^2.$

Step-by-step explanation:  We are given to select the correct expression that is equivalent to the expression below:

$E=(x^2y)^2.$

We will be using the following properties of exponents:

$(i)~(a^b)^c=a^{b\times c},\\\\(ii)~(ab)^c=a^cb^c.$

We have

$E=(x^2y)^2=(x^2)^2y^2=x^{2\times 2}y^2=x^4y^2.$

Therefore, the required equivalent expression is $x^4y^2.$

Thus, (C) is the correct option.