For this case we have that by definition of power properties:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
Then, we have the following expression:
[tex]\frac {5 ^ {- 6}} {5 ^ 3}[/tex]
It can be rewritten as:
[tex]\frac {1} {5 ^ 6 * 5 ^ 3}[/tex]
By definition of power properties we have:
[tex]a ^ m * a ^ n = a ^ {m + n}[/tex]
So:
[tex]\frac {1} {5 ^ 6 * 5 ^ 3} = \frac {1} {5 ^ 9}[/tex]
Answer:
Option A
