Evaluate -4^4

Problem

−4

Solution

1. Identify the order of operations. According to the standard rules of mathematics (PEMDAS/BODMAS), exponentiation is performed before negation unless the negative sign is inside parentheses.

2. Apply the exponent to the base. In the expression −4 the base is 4 not −4

3. Calculate the power of the base.

4=4⋅4⋅4⋅4

4=256

4. Apply the negative sign to the result of the exponentiation.

−(256)=−256

Final Answer

−4=−256

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