For this case we have that by definition of power properties:
[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]
We have the following expression:
[tex]\frac {5 ^ 6} {5 ^ 2} = a ^ b[/tex]
It can be rewritten as:
So:
[tex]\frac {5 ^ 6} {5 ^ 2} = 5 ^ {6-2} = 5 ^ {4} = a ^ b[/tex]
So, [tex]b = 4\ and\ a = 5[/tex]
Answer:
Option B
