Question

How do you write `root5(x^5y^5)` as an exponential form?

Answer 1

`=xy`

Explanation:

`rootcolor(blue)(5)(x^5y^5`

`=(x^5y^5)^color(blue)(1/5`

By property :
`color(blue)((a^m)^n = a^(mn)`

`=x^(5 xx color(blue)(1/5)) xx y^(5 xx color(blue)(1/5`

`=x^1 xx y^1`

`=xy`