Question

What is the quotient?

Answer 1

Answer:

1/5^9

Step-by-step explanation:

X^n / X^m = (X)^n-m

5^(-6-3)

5^-9

1/5^9

Best regards

Answer 2

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