Which of the following expressions are equivalent to \( \frac{-\frac{-8}{-4} ?}{\text { ? }} \) ? (A) \( -\frac{-8}{4} \) (B) 2 C None of the above that apply:
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Bonus Knowledge
To solve \( \frac{-\frac{-8}{-4}}{?} \), we first tackle the innermost expression. The term \(-\frac{-8}{-4}\) simplifies as follows: the numerator \(-8\) becomes \(8\) after negation, while the denominator remains \(-4\), leading to \( \frac{8}{-4} = -2 \). Now, we can express the whole expression as \( \frac{-2}{?} \). Now let's evaluate the options. Option (A) simplifies to \( -\frac{-8}{4} = 2 \). Hence, \(\frac{-2}{2} = -1\) does not equal the expression. Option (B) states \(2\), and if we set \( ? = -2 \), then \(\frac{-2}{-2} = 1\) which is not helpful. Thus, both options don't satisfy the original problem, confirming that the answer is indeed C. So, the expression does not match options (A) or (B), which leads us to our final conclusion.
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