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Algebra Difficulty 2.2 Junior Find the answer

What is the value of (1)3+(1)2+(1)(-1)^{3}+(-1)^{2}+(-1)?

A number or a short expression. Spacing and $ signs are ignored.

Solution

Since -1 raised to an even exponent equals 1 and -1 raised to an odd exponent equals -1, then (1)3+(1)2+(1)=1+11=1(-1)^{3}+(-1)^{2}+(-1)=-1+1-1=-1.

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