Answer: OPTION C.
Explanation:
For this exercise it is important to remember the the following properties:
1. The Produtct of Powers Property states that:
![(a^m)(a^n)=a^((m+n))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dq85haazi4mfq0uz6k0f50r5ielqa8p35c.png)
2. The Quotient of Powers Property states that:
![(a^m)/(a^n)=a^((m-n))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t4p6lk17njgjnsyurligaff1ztbfz1a66v.png)
Therefore, given the following expression:
![(5^a*5^5)/(5^b)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ku8prmmzi8whxgold8pc3kxiud8frmsufz.png)
You can simplify it by applying the properties explained before.
So, you get that following expression:
Then, you can determine that Clifton is correct.