Question

use the laws of exponents to simplify

9.1^5/4 / 9.1^4/7

Answer 1

When bases are same, you can subtract the exponents when it is a division and add the exponents when it is a multiplication. In this case, you get 9.1^(5/4-4/7).

Answer 2

9.1^5/4 - 4/7
= 9.1^19/35