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Alexandra [31]
3 years ago
11

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

Mathematics
2 answers:
serious [3.7K]3 years ago
8 0
The answer is C. x4y2
arlik [135]3 years ago
3 0

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.

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