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-3 0 = - 1 = Always a form of 1 and in the first instance you are taking 3 to the 0 power then applying the negative sign.
Yes. Any multiplication involving an odd number of negative operands will be negative (assuming non-zero operands).
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.
G is always negative when H is negative and S is positive.
It will always be negative.