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Imaginary result for cube root of -1

I get -1 as the cube root of -1,which is correct. But if I put -1 in parentheses I get an imaginary result. I was hoping the imaginary result, if cubed, would give me -1, but it got worse.

-1^(1/3).n()
-1.00000000000000

(-1)^(1/3).n()
0.500000000000000 + 0.866025403784439*I