先化简,再求值:6(7+1)(7²+1)([7^4]1)([7^8]+1)+1

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先化简,再求值:6(7+1)(7²+1)([7^4]1)([7^8]+1)+1

6(7+1)(7²+1)([7^4]1)([7^8]+1)+1
=(7-1)(7+1)(7²+1)([7^4]1)([7^8]+1)+1
=(7²-1)(7²+1)([7^4]+1)([7^8]+1)+1
=(7^4-1)([7^4]+1)([7^8]+1)+1
=(7^8-1)(7^8+1)+1
=7^16-1+1
=7^16