what is negative one raised to the seventh power?

$$\\(-1)^7 =-1*-1*-1*-1*-1*-1*-1\\ =(-1*-1)*(-1*-1)*(-1*-1)*-1\\ =1*1*1*-1\\ =-1$$

$$\\(-1)^{odd\; number}=-1\\ (-1)^{even\; number}=+1\\$$

If you raise negative one to the seventh power you get negavtive one.