Question

Could negative 2 be used as a base to rewrite 32? 64? Why or why not?

Answer 1

`(-a)^n < 0\ if\`


`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`