Evaluate -(-4)^3

Problem

−(−4)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 −4 by itself three times.

(−4)3=(−4)⋅(−4)⋅(−4)

3. Calculate the product of the first two factors.

(−4)⋅(−4)=16

4. Multiply the result by the third factor.

16⋅(−4)=−64

5. Apply the negative sign outside the parentheses to the result of the exponentiation.

−(−64)=64

Final Answer

−(−4)3=64

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