当2∧32=a时,化简(2∧2+1)(2∧4+1)(2∧8+1)(2∧16+1)(2∧32+1)
问题描述:
当2∧32=a时,化简(2∧2+1)(2∧4+1)(2∧8+1)(2∧16+1)(2∧32+1)
2∧32表示2的32次方,其余相同
答
(2∧2+1)(2∧4+1)(2∧8+1)(2∧16+1)(2∧32+1)=((2^2-1)(2∧2+1)(2∧4+1)(2∧8+1)(2∧16+1)(2∧32+1))/3=((2^4-1)(2∧4+1)(2∧8+1)(2∧16+1)(2∧32+1))/3=((2^8-1))(2∧8+1)(2∧16+1)(2∧32+1))/3=……=((2^64-1)/3...