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(-1)2009 Power +(-1)2008 power +0 2007 power +(-1)2006 power =_____
Original formula =-1+1+0+1=1
(1)2004+2003-2002-2001+2000+1999-1998-1997+...+8+7-6-5+4+3-2-1=== (2)2005×20062006-2006×20052005
(1)2004+2003-2002-2001+2000+1999-1998-1997+...+8+7-6-5+4+3-2-1
=(2004-2002)+(2003-2001)+(2000-1998)+...+(8-6)+(7-5)+(4-2)+(3-1)
= 2004/2 × 2
= 2004
(2)2005×20062006-2006×20052005
= 2005 × (20060000 + 2006)- 2006 × (20050000 + 2005)
= 2005 × 2006 × (10000 + 1)- 2006 × 2005 × (10000 + 1)
= 2005 × 2006 × 10001 - 2006 × 2005 × 10001
= 0
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