123的123次方,456的456次方,789的789次方,這三個數(shù)之和被9除的余數(shù)=(123^123被9除的余數(shù)+456^456被9除的余數(shù)+789^789被9除的余數(shù))和789^789被9除的余數(shù)=0+0+0=0
123^123被9除的余數(shù)
=(1+2+3)^123被9除的余數(shù)
=6^123被9除的余數(shù)
=6*6*6^121被9除的余數(shù)
=36*6^121被9除的余數(shù)
=0
456^456被9除的余數(shù)
=(4+5+6)^456被9除的余數(shù)
=6^456被9除的余數(shù)
=6*6*6^454被9除的余數(shù)
=36*6^454被9除的余數(shù)
=0
789^789被9除的余數(shù)
=(7+8+9)^789被9除的余數(shù)
=15^789被9除的余數(shù)
=15*15*15^787被9除的余數(shù)
=0