Evaluate:

(7-8*(-1))*-1^2006=

(7-8*(-1))* -1^2006

= (7-8*(-1)) * -(1^2006)
= (7-(-8))* -1
= (7+8) * -1
= -15

However, if you really meant

(7-8*(-1)) * (-1)^2006
then the answer is +15