Question

What is the quotient of

Answer 1

Its 7

All you gotta do is factor the numerator and the denominator and then cancel the common factors and you'll end up with 7 as your answer

Answer 2

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

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

So:

`7 ^ {-1} = \frac {1} {7 ^ 1} = \frac {1} {7}\\7 ^ {- 2} = \frac {1} {7 ^ 2} = \frac {1} {49}`

Then the quotient is given by:

`\frac {\frac {1} {7}} {\frac {1} {49}} =\\\frac {49} {7} =7`

Answer:

`\frac {7 ^ {- 1}} {7 ^ {- 2}} = 7`

Option C