Calculate the 2008th power of (-2)+ the 2009th power of (-2) equals

Original =2^2008-2^2009
=-2^2008

(Minus one-third)2009 power—(one-third)2008 power

-(1/3)^2009 -(1/3)^2008
=-[ (1/3)^2009 + (1/3)^2008 ]
= - [ (1/3)^2008 * 1/3 + (1/3)^2008]
=-[ (1/3)^2008 + 4/3]
= -4/3 -(1/3)^2008

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