Evaluate (-2)^4

Problem

(−2)4

Solution

1. Identify the base and the exponent in the expression. The base is −2 and the exponent is 4

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

(−2)⋅(−2)⋅(−2)⋅(−2)

3. Multiply the first two factors. Since the signs are the same, the product is positive.

(−2)⋅(−2)=4

4. Multiply the result by the third factor.

4⋅(−2)=−8

5. Multiply the result by the fourth factor. Since the signs are the same, the product is positive.

−8⋅(−2)=16

Final Answer

(−2)4=16

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