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QUESTION IMAGE

evaluate. $-4^4$

Question

evaluate.
$-4^4$

Explanation:

Step1: Understand the exponentiation

The expression is \(-4^4\). Here, the exponent \(4\) applies only to the base \(4\), not to the negative sign. So we first calculate \(4^4\).
\(4^4 = 4\times4\times4\times4\)

Step2: Calculate \(4^4\)

\(4\times4 = 16\), \(16\times4 = 64\), \(64\times4 = 256\). So \(4^4 = 256\).

Step3: Apply the negative sign

Since the negative sign is not part of the base, we have \(-4^4=-256\).

Answer:

\(-256\)