the simplification of the expression will be as follows: (a^7b^8)/(a^4b^4) According to the rules of indices, when you divide numbers with the same base, it's the same as subtracting their powers. Hence we shall have: (a^7b^8)/(a^4b^4) =(a^(7-4))(b^(8-4)) =a^3b^4 the answer is a^3b^4