Question

Choose the correct simplification of (3xy6)2(y3)3

Answer 1

$(3xy^6)^2(y^3)^3=\\\\9x^2y^{12}*y^9=\\\\9x^2y^{21}$

Answer 2

Answer: A. $9x^2y^{21}$

Step-by-step explanation:

The given expression : $(3xy^6)^2(y^3)^3$

Using laws of exponents :

$a^m*a^n=a^{m+n}\\\\(a^m)^n=a^{mn}$

To simplify the given expression :

$(3xy^6)^2(y^3)^3\\\\=(3)^2(x)^2(y^6)^2(y^{3\times3})\\\\=9x^2y^{12}\times y^9\\\\=9x^2y^{12+9}\\\\=9x^2y^{21}$

Therefore, $(3xy^6)^2(y^3)^3=9x^2y^{21}$