Respuesta :

altavistard

Answer:

(-7)³ or -7³

Step-by-step explanation:

Start with    (-7)²

                  ----------

                    (-7)^(-1)

Apply the rule that:

        x^a

     ----------- = x^(a-b)

        x^b

Then our:

                    (-7)²

                  ----------- = (-7)^(2 - [-1] )  = (-7)^(2+1) = (-7)³  

                    (-7)^(-1)

                                                                                                 

This answer could be left as is, or we could rewrite (-7)³ as

-7³, since (-1)³ = -1

                                                                                                   

carlosego

Answer: FIRST OPTION

Step-by-step explanation:

According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.

Therefore, keeping the property above on mind, you have that the quotient is the shown below:

[tex]\frac{(-7)^2}{(-7)^{-1}}=(-7)^{(2-(-1))}=(-7)^{(2+1)}=(-7)^3=-343[/tex]