2 Answers

Homer Xing · Answer 1 · 2021-09-29T06:25:42+0000

Answer:

-343

Explanation:

Given the expression:
((-7)^2)/((-7)^(-1))

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.

(a^x)/(a^y) =a^(x-y)

Therefore:

$((-7)^2)/((-7)^(-1))=(-7)^(2-(-1))\\=(-7)^(2+1)\\=(-7)^3\\=-7 X -7 X -7\\=-343$

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