Choose the correct simplification of the expression a to the 7th power times b to the 8th power all over a to the 4th power times b to the 4th power

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