Respuesta :

Answer:

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

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

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

So:

[tex]7 ^ {-1} = \frac {1} {7 ^ 1} = \frac {1} {7}\\7 ^ {- 2} = \frac {1} {7 ^ 2} = \frac {1} {49}[/tex]

Then the quotient is given by:

[tex]\frac {\frac {1} {7}} {\frac {1} {49}} =\\\frac {49} {7} =7[/tex]

Answer:

[tex]\frac {7 ^ {- 1}} {7 ^ {- 2}} = 7[/tex]

Option C

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