Answer: OPTION C.
Step-by-step explanation:
For this exercise it is important to remember the the following properties:
1. The Produtct of Powers Property states that:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
2. The Quotient of Powers Property states that:
[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]
Therefore, given the following expression:
[tex]\frac{5^a*5^5}{5^b}[/tex]
You can simplify it by applying the properties explained before.
So, you get that following expression:
[tex]\frac{5^a*5^5}{5^b}=\frac{5^{(a+5)}}{5^b}=5^{(a+5)-b}=5^{(a+5-b)}[/tex]
Then, you can determine that Clifton is correct.
