Question

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

A.9x2y21
B.6x2y21
C.9x2y14
D.6x2y14

Answer 1

`(3xy^6)^2(y^3)^3=\\\\9x^2y^(12)*y^9=\\\\9x^2y^(21)`

Answer 2

Answer: A.
`9x^2y^(21)`

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*3))\\\\=9x^2y^(12)* y^9\\\\=9x^2y^(12+9)\\\\=9x^2y^(21)`

Therefore,
`(3xy^6)^2(y^3)^3=9x^2y^(21)`