Evaluate (-3)^6

Problem

(−3)6

Solution

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

2. Apply the definition of an exponent, which indicates that the base should be multiplied by itself the number of times specified by the exponent.

(−3)×(−3)×(−3)×(−3)×(−3)×(−3)

3. Determine the sign of the result. Since the base is negative and the exponent is an even number, the final result will be positive.

(−3)2=9

(−3)4=81

4. Calculate the final product by multiplying the remaining factors.

81×9=729

Final Answer

(−3)6=729

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