Question

Simplify the expression (x)^3(x^3y)^2

A) x^9y^2

B) -x^6y^2

C) x^5y^2

D) -x^9y^2

Answer 1

A)

Explanation:

`(a^(m))^(n) = a^(mn)\\\\x^(3)*(x^(3)*y^(2))^(2)=x^(3)*(x^(3))^(2)*(y)^(2)\\\\\\=x^(3)*x^(3*2)*y^(2)\\\\\\=x^(3)*x^(6)*y{2}\\\\\\=x^(3+6)*y^(2)\\=x^(9)y^(2)`