Question

Simplify the expression where possible. (x^4y^2)^3

Answer 1

`x^(12)*y^6`

Explanation:

We know that
`(a*b)^(m)=a^(m)*b^(m)`

Given
`(x^(4)*y^(4))^(3)`

here a=
`x^(4)` and b=
`y^(4)`

by using the above principle we get

`(x^(4)*y^(4))^(3)`=
`(x^(4))^(3)*(y^(2))^(3)`

We know that
`(a^(m))^(n)=a^(mn)`

`(x^(4)*y^(4))^(3)`=
`x^(4*3)*y^(2*3)`=
`x^(12)*y^6`