Evaluate (-6)^3

Problem

(−6)3

Solution

1. Identify the base and the exponent in the expression. The base is −6 and the exponent is 3

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

(−6)⋅(−6)⋅(−6)

3. Multiply the first two factors. Since both are negative, their product is positive.

(−6)⋅(−6)=36

4. Multiply the result by the remaining factor. Since a positive number is multiplied by a negative number, the final result is negative.

36⋅(−6)=−216

Final Answer

(−6)3=−216

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