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I have been out of school for a long time and not understanding these questions. Please help

why is 5^0=1

can you explain when (-3)^n is positive and when it is negative.

By definition, anything to the zero power is 1.

any real number taken to a positive power is positive.

Any negative number taken to even power is positive, if taken to a negative power, it is negative.

(-3)^2= +9
(-3)^3=-27

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