Question

How do you simplify `(4xy^2)^3`?

Answer 1

`64x^3y^6`

Explanation:

`"using the "color(blue)"law of exponents"`

`color(red)(bar(ul(|color(white)(2/2)color(black)((a^mb^n)^p=a^(mp)b^(np))color(white)(2/2)|)))`

`"this can be extended to any number of terms"`

`rArr(4xy^2)^3`

`=4^((1xx3))xxx^((1xx3))xxy^((2xx3))`

`=4^3xxx^3xxy^6=64x^3y^6`