Question

Choose the correct simplification of (2xy2)2(y2)3.

A. 2x2y10
B. 4x2y9
C. 4x2y10
D. 2x2y9

Answer 1

C.4x^2y^10

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.

Answer 2

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