Question

Nots sure, I need help

Answer 1

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:

$(a^m)(a^n)=a^{(m+n)}$

2. The Quotient of Powers Property states that:

$\frac{a^m}{a^n}=a^{(m-n)}$

Therefore, given the following expression:

$\frac{5^a*5^5}{5^b}$

You can simplify it by applying the properties explained before.

So, you get that following expression:

$\frac{5^a*5^5}{5^b}=\frac{5^{(a+5)}}{5^b}=5^{(a+5)-b}=5^{(a+5-b)}$

Then, you can determine that  Clifton is correct.