(-1/2)^199+(-1/2)^200=?(2+根5)^2008-(2-根5)^2009=?

问题描述:

(-1/2)^199+(-1/2)^200=?
(2+根5)^2008-(2-根5)^2009=?

用分解因式(-1/2)^(199+200)

(-1/2)^199+(-1/2)^200=(-1/2)199*(1+(-1/2))=(-1/2)^199*1/2=-1/2^200

①(-1/4)^199