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Verified Answer :

MissPhiladelphia

The correct simplification would be 4x2y10. For this problem we should remember that we can only combine like terms and also it is important to know rules of exponents. We do as follows:

(2xy2)^2(y2)^3
2²x²y⁴ (y⁶)
4x²y¹⁰

Answer:

C.4x^2y^10

Step-by-step explanation:

Given: (2xy^2)^2 .(y^2)^3

Use the exponent power of power rule : (a^n)^m = a^(mn)

(2xy^2)^2 .(y^2)^3 = (2^2. x^2.y^4).y^6

= 4x^2.y^4.y^6

Use the exponent base rule: a^m. a^n = a^(m + n)]

= 4.x^2.y^(4 + 6)

= 4x^2.y^10

Answer is C.4x^2y^10

Hope this helpful.

Thank you.

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