Question

How do you simplify `(2x^2y^3)^2`?

Answer 1

`=color(red)(4 x^4 y^6`

Explanation:

`(2^1x^2y^3)^color(red)(2`
Here `color(red)(2` needs to be multiplied with each term within the bracket:

`=2^(1 . color(red)(2))x^(2. color(red)(2)) . y^(3. color(red)(2)`
`=2^2. x^4 . y^6`
`=color(red)(4 x^4 y^6`