What is the 2010 power of the 2009 power of (-8) multiplied by (-0.125)?

(-8)'S 2009th power (-0.125)'s 2010th power =(-8)'s 2009th power (-0.125)'s 2009th power (-0.125)'s 1st power =(-1)'s 2009th power (-0.125)'s 1st power =-0.125

If |a+1|+(b-2)2=0, find the value of (a+b)2009+a2008.

It means that a+1=0, b-2=0,
Solve a=-1, b=2,
So (a+b)2009+a2008
=(-1+2)2009+(-1)2008
=1+1
=2.

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