Evaluate -(-2)^3

Problem

−(−2)3

Solution

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

2. Evaluate the cube of the negative number by multiplying −2 by itself three times.

(−2)3=(−2)⋅(−2)⋅(−2)

3. Calculate the product of the three negative factors.

(−2)⋅(−2)⋅(−2)=−8

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

−(−8)=8

Final Answer

−(−2)3=8

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