Because 1 x -1 = -1, and anyway "two negatives make a positive".
Multiplying two negative numbers will result in a positive number.
Summing two negative numbers will result in a negative number.
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When a negative number is raised to an even power, the result is always positive. Therefore, (-1)^4 equals 1. This is because multiplying a negative number by itself an even number of times will always result in a positive value.
1 times 4 = 4. 4+1= 5
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Anything times 1 equals itself...365