Evaluate -(-3)^3

Problem

−(−3)3

Solution

1. Identify the order of operations, which requires evaluating the exponent before applying the negative sign outside the parentheses.

2. Evaluate the power by multiplying the base −3 by itself three times.

(−3)3=(−3)⋅(−3)⋅(−3)

3. Calculate the product of the three negative numbers.

(−3)⋅(−3)=9

9⋅(−3)=−27

4. Apply the remaining negative sign from the original expression to the result.

−(−27)=27

Final Answer

−(−3)3=27

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