(Retry) Which of the following simplifies to a negative number?
-- It isn't C, apparently.
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Answer:
The answer would be A, [tex]-4^{-4}[/tex]
Step-by-step explanation:
Remember, [tex]x^{-n}[/tex] ≠ [tex]-x^{n}[/tex], [tex]x^{-n}[/tex] = [tex]\frac{1}{x^{n} }[/tex].
a = [tex]-4^{-4}[/tex] = [tex]-(4^{-4})[/tex]
a = [tex]-\frac{1}{4^{4} }[/tex]
a = [tex]-\frac{1}{256}[/tex]
[tex]-\frac{1}{256}[/tex] is negative
[tex]-\frac{1}{256}[/tex] = [tex]-4^{-4}[/tex], so [tex]-4^{-4}[/tex] is negative