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  • 對(duì)于算式2(3+1)(32+1)(34+1)(38+1)(316+1)(332+1)+1的結(jié)果是幾位數(shù),個(gè)位是幾?

    對(duì)于算式2(3+1)(32+1)(34+1)(38+1)(316+1)(332+1)+1的結(jié)果是幾位數(shù),個(gè)位是幾?
    數(shù)學(xué)人氣:239 ℃時(shí)間:2020-05-19 05:42:25
    優(yōu)質(zhì)解答
    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個(gè)位是1
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