已知3的一次方=3,3的平方=9,3的三次方=27,3的四次方=81,3的五次方=243,3的六次方=729……

4个回答

  • 个位数分别是3,9,7,1,3,9,7,1···

    2(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1

    ={2[3+1)(3-1)](3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1}/(3-1)

    ={2[(3^2-1)(3^2+1)](3^4+1)(3^8+1)(3^16+1)(3^32+1)+1}/(3-1)

    ={2[(3^4-1)(3^4+1)](3^8+1)(3^16+1)(3^32+1)+1}/(3-1)

    ={2[(3^8-1)(3^8+1)](3^16+1)(3^32+1)+1}/(3-1)

    ={2[(3^16-1)(3^16+1)](3^32+1)+1}/(3-1)

    ={2[(3^32-1)(3^32+1)]+1}/(3-1)

    ={2(3^64-1)+1}/(3-1)

    =(3^64-1)+1

    =3^64

    个位是1有什么不明白可以继续问,随时在线等.