求(3-1)(3+1)(3²+1)(3³²+1)···(3³²+1)+1的个位数字是几求(3-1)(3+1)(3²+1)(3⁴+1)···(3³²+1)+1的个位数字是几
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![求(3-1)(3+1)(3²+1)(3³²+1)···(3³²+1)+1的个位数字是几求(3-1)(3+1)(3²+1)(3⁴+1)···(3³²+1)+1的个位数字是几](/uploads/image/z/6974258-50-8.jpg?t=%E6%B1%82%283-1%29%283%2B1%29%283%26%23178%3B%2B1%29%283%26%23179%3B%26%23178%3B%2B1%29%C2%B7%C2%B7%C2%B7%283%26%23179%3B%26%23178%3B%2B1%29%2B1%E7%9A%84%E4%B8%AA%E4%BD%8D%E6%95%B0%E5%AD%97%E6%98%AF%E5%87%A0%E6%B1%82%283-1%29%283%2B1%29%283%26%23178%3B%2B1%29%EF%BC%883%26%238308%3B%2B1%EF%BC%89%C2%B7%C2%B7%C2%B7%283%26%23179%3B%26%23178%3B%2B1%29%2B1%E7%9A%84%E4%B8%AA%E4%BD%8D%E6%95%B0%E5%AD%97%E6%98%AF%E5%87%A0)
求(3-1)(3+1)(3²+1)(3³²+1)···(3³²+1)+1的个位数字是几求(3-1)(3+1)(3²+1)(3⁴+1)···(3³²+1)+1的个位数字是几
求(3-1)(3+1)(3²+1)(3³²+1)···(3³²+1)+1的个位数字是几
求(3-1)(3+1)(3²+1)(3⁴+1)···(3³²+1)+1的个位数字是几
求(3-1)(3+1)(3²+1)(3³²+1)···(3³²+1)+1的个位数字是几求(3-1)(3+1)(3²+1)(3⁴+1)···(3³²+1)+1的个位数字是几
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(3-1)(3+1)(3²+1)(3的4次方+1)···(3³²+1)+1
=(3²-1)(3²+1)(3的4次方+1)···(3³²+1)+1
=(3的4次方-1)(3的4次方+1)···(3³²+1)+1
=3的64次方-1+1
=3的64次方
∵3的4次方的个位数...
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(3-1)(3+1)(3²+1)(3的4次方+1)···(3³²+1)+1
=(3²-1)(3²+1)(3的4次方+1)···(3³²+1)+1
=(3的4次方-1)(3的4次方+1)···(3³²+1)+1
=3的64次方-1+1
=3的64次方
∵3的4次方的个位数是1
∴3的64次方的个位数=(3的4次方)的16次方的个位数=1的64次方的个位数=1
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