Respuesta :
Answer:
-343
Step-by-step explanation:
Given the expression: [tex]\dfrac{(-7)^2}{(-7)^{-1}}[/tex]
You will notice that the terms in the numerator and denominator have the same base (-7).
This makes it very easy to simplify by applying the division law of indices.
[tex]\dfrac{a^x}{a^y} =a^{x-y}[/tex]
Therefore:
[tex]\dfrac{(-7)^2}{(-7)^{-1}}=(-7)^{2-(-1)}\\=(-7)^{2+1}\\=(-7)^3\\=-7 X -7 X -7\\=-343[/tex]
