Answer :

[tex](-a)^n < 0\ if\ "n"\ is\ an\ on\ number\\\\(-a)^n > 0\ if\ "n"\ is\ an\ even\ number\\\\where\ a > 0[/tex]

[tex]32=2^5\to 5\ is\ an\ odd\ number\ then\ (-2)^5=-32 < 0\\\\64=2^6\to 6\ is\ an\ even\ number,\ then\ (-2)^6=64 > 0[/tex]

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