对于算式2（3+1）（32+1）（34+1）（38+1）（316+1）（332+1）+1的结果是几位数,个位是几?
问题描述：
对于算式2（3+1）（32+1）（34+1）（38+1）（316+1）（332+1）+1的结果是几位数,个位是几?
答
2（3+1）（32+1）（34+1）（38+1）（316+1）（332+1）+1
=(3-1)(3+1)(3²+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1
=(3²-1)(3²+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1
=(3^4-1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1
=(3^8-1)(3^8+1)(3^16+1)(3^32+1)+1
=(3^16-1)(3^16+1)(3^32+1)+1
=(3^32-1)(3^32+1)+1
=3^64-1+1
=3^64
答
2（3+1）（3^2+1）（3^4+1）（3^8+1）（3^16+1）（3^32+1）+1
=(3-1)(3+1)(3²+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1
=(3²-1)(3²+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1
=(3^4-1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1
=(3^8-1)(3^8+1)(3^16+1)(3^32+1)+1
=(3^16-1)(3^16+1)(3^32+1)+1
=(3^32-1)(3^32+1)+1
=3^64-1+1
=3^64 =9^32=81^16个位是1