Question

Fully simplify.
(3x^2y^2)^3
(3x
2
y
2
)
3

Answer 1

`27x^6y^6`

Explanation:

The formatting of the question is a bit confusing, but if the expression is
`(3x^2y^2)^3`, use the power of a product exponent rule
`(ab)^m=(a)^m(b)^m`. So,

`(3x^2y^2)^3=(3)^3(x^2)^3(y^2)^3`.

Next, use the power of a power exponent rule
`(a^m)^n=a^(m*n)`. So,

`(3)^3(x^2)^3(y^2)^3=27(x^(2*3))(y^(2*3))=27x^6y^6`