Evaluate (-2)^3

Problem

(−2)3

Solution

1. Identify the base and the exponent in the expression. The base is −2 and the exponent is 3

2. Expand the power by multiplying the base by itself as many times as indicated by the exponent.

(−2)3=(−2)⋅(−2)⋅(−2)

3. Multiply the first two factors. Since the product of two negative numbers is positive, (−2)⋅(−2)=4

4⋅(−2)

4. Multiply the result by the remaining factor. Since the product of a positive and a negative number is negative, 4⋅(−2)=−8

−8

Final Answer

(−2)3=−8

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