Evaluate (-3)^3

Problem

(−3)3

Solution

1. Identify the base and the exponent in the expression. The base is −3 and the exponent is 3

2. Expand the expression by multiplying the base by itself the number of times indicated by the exponent.

(−3)⋅(−3)⋅(−3)

3. Multiply the first two terms. Since a negative times a negative is a positive, (−3)⋅(−3)=9

9⋅(−3)

4. Multiply the remaining terms. Since a positive times a negative is a negative, 9⋅(−3)=−27

Final Answer

(−3)3=−27

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