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using binomial theorem


all the terms contain power of 35 which is multiple of 7 as 7x5=35

the last term 

C_{0}^{1024}3^{1024}= \frac{1024!}{1024!}3^{1024}=3^{1024}



where k is the integer that includes the other things in expansion
so the remainder is 

0 0 0
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