2 Answers

Igor Rjabinin · Answer 1 · 2020-01-27T18:52:13+0000

For this case we have that by definition of power properties:

$a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}$

Then, we have the following expression:

$\frac {5 ^ {- 6}} {5 ^ 3}$

It can be rewritten as:

$\frac {1} {5 ^ 6 * 5 ^ 3}$

By definition of power properties we have:

$a ^ m * a ^ n = a ^ {m + n}$

So:

$\frac {1} {5 ^ 6 * 5 ^ 3} = \frac {1} {5 ^ 9}$

Answer:

Option A

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