Evaluate -6^3

Problem

−6

Solution

1. Identify the order of operations. According to the rules of exponents, the power applies only to the base immediately to its left unless parentheses are present.

2. Interpret the expression. The expression −6 is equivalent to −(6) meaning the number 6 is cubed first, and then the negative sign is applied.

3. Calculate the power. Multiply 6 by itself three times.

6×6×6=216

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

−(216)=−216

Final Answer

−6=−216

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