Observe the following examples where we multiply an odd amount of (−1)′s(-1)'s together: (−1)⋅(−1)⋅(−1)⋅(−1)⋅(−1)=−1(-1)\cdot(-1)\cdot(-1)\cdot(-1)\cdot(-1)=-1 (−1)⋅(−1)⋅(−1)⋅(−1)⋅(−1)⋅(−1)⋅(−1)=−1(-1)\cdot(-1)\cdot(-1)\cdot(-1)\cdot(-1)\cdot(-1)\cdot(-1)=-1

Does multiplying an odd amount of (−1)′s(-1)'s together always equal the same thing?

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