Question

How do you simplify `(c^2d^2)^ -2`?

Answer 1

`=color(green)( c^ -4 d ^ -4`

Explanation:

`(c^2d^2)^-2`

As per property:
`color(blue)((ab)^m = a^mb^m`

So,
`(c^2d^2)^ color(blue)(-2) = c^(2 * color(blue)((-2))) * d^(2* color(blue)( (-2)`

`= c^ -4 * d ^ -4`

`=color(green)( c^ -4 d ^ -4`