I need to rewrite this with rational exponents.

Question

(√3mn)^9

I have no clue of what I need to do. Can someone please take me step by step?

Answer 1

(�ã3mn)^9=(�ã3)^9*(mn)^9
=3^(9/2)*(mn)^9 =3^(9/2)*m^9*n^9

Becouse:

�ã3=3^(1/2)

(3^(1/2))^9= 3^(9/2)