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quester [9]
3 years ago
7

Which of the following simplifies to a negative number?

Mathematics
2 answers:
cestrela7 [59]3 years ago
5 0

Answer:

Option A is correct.

-4^{-4}

Step-by-step explanation:

Using exponent rule:

(a^{-n})^m =(\frac{1}{a^n})^m = \frac{1}{a^{nm}}

Option A:

-4^{-4}

-(4^{-1})^4 = -(\frac{1}{4})^4 = -\frac{1}{4^4} = -\frac{1}{256}

Option B:

(-4)^{-4}

(-4)^{-4} = ((-4)^{-1})^{4} = (\frac{1}{-4})^4 = \frac{1}{(-4)^4} = \frac{1}{256}

Option C :

4^{-4}

4^{-4} = (4^{-1})^4 = (\frac{1}{4})^4 = \frac{1}{4^4} = \frac{1}{256}

Option D:

(\frac{1}{4})^{-4}

(\frac{1}{4})^{-4} = (4^{-1})^{-4}=4^{4} = 256

Therefore, the following simplifies to a negative number is, -4^{-4}

skelet666 [1.2K]3 years ago
3 0
This is the correct answer people I just took the lesson. -4^-4
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