Evaluate (-8)^3

Problem

(−8)3

Solution

1. Identify the base and the exponent. The base is −8 and the exponent is 3

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

(−8)×(−8)×(−8)

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

(−8)×(−8)=64

4. Multiply the result by the remaining factor. A positive number multiplied by a negative number results in a negative product.

64×(−8)=−512

Final Answer

(−8)3=−512

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