Evaluate -3^3

Problem

−3

Solution

1. Identify the order of operations. According to the rules of exponents, the exponent applies only to the base directly to its left.

2. Apply the exponent to the base 3 The negative sign is treated as a multiplication by −1 or as a prefix that stays outside the power operation.

3. Calculate the power of the base.

3=3⋅3⋅3

3=27

4. Apply the negative sign to the result of the power calculation.

−(27)=−27

Final Answer

−3=−27

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