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    总述:本次共解1题。其中
           ☆算术计算1题

〖1/1算式〗
    作业:求算式 12^(1/12)*2^(2/12)*2^(3/12)*2^(4/12)*2^(5/12)*2^(6/12)*2^(7/12)*2^(8/12)*2^(10/12)*2^(11/12)*2 的值.
    题型:数学计算
    解:
          12^(1/12)*2^(2/12)*2^(3/12)*2^(4/12)*2^(5/12)*2^(6/12)*2^(7/12)*2^(8/12)*2^(10/12)*2^(11/12)*2
        =12^0.083333*2^(2/12)*2^(3/12)*2^(4/12)*2^(5/12)*2^(6/12)*2^(7/12)*2^(8/12)*2^(10/12)*2^(11/12)*2
        =12^0.083333*2^0.166667*2^(3/12)*2^(4/12)*2^(5/12)*2^(6/12)*2^(7/12)*2^(8/12)*2^(10/12)*2^(11/12)*2
        =12^0.083333*2^0.166667*2^0.25*2^(4/12)*2^(5/12)*2^(6/12)*2^(7/12)*2^(8/12)*2^(10/12)*2^(11/12)*2
        =12^0.083333*2^0.166667*2^0.25*2^0.333333*2^(5/12)*2^(6/12)*2^(7/12)*2^(8/12)*2^(10/12)*2^(11/12)*2
        =12^0.083333*2^0.166667*2^0.25*2^0.333333*2^0.416667*2^(6/12)*2^(7/12)*2^(8/12)*2^(10/12)*2^(11/12)*2
        =12^0.083333*2^0.166667*2^0.25*2^0.333333*2^0.416667*2^0.5*2^(7/12)*2^(8/12)*2^(10/12)*2^(11/12)*2
        =12^0.083333*2^0.166667*2^0.25*2^0.333333*2^0.416667*2^0.5*2^0.583333*2^(8/12)*2^(10/12)*2^(11/12)*2
        =12^0.083333*2^0.166667*2^0.25*2^0.333333*2^0.416667*2^0.5*2^0.583333*2^0.666667*2^(10/12)*2^(11/12)*2
        =12^0.083333*2^0.166667*2^0.25*2^0.333333*2^0.416667*2^0.5*2^0.583333*2^0.666667*2^0.833333*2^(11/12)*2
        =12^0.083333*2^0.166667*2^0.25*2^0.333333*2^0.416667*2^0.5*2^0.583333*2^0.666667*2^0.833333*2^0.916667*2
        =1.230074486704125*2^0.166667*2^0.25*2^0.333333*2^0.416667*2^0.5*2^0.583333*2^0.666667*2^0.833333*2^0.916667*2
        =1.230074486704125*1.122462307653204*2^0.25*2^0.333333*2^0.416667*2^0.5*2^0.583333*2^0.666667*2^0.833333*2^0.916667*2
        =1.230074486704125*1.122462307653204*1.189207115002721*2^0.333333*2^0.416667*2^0.5*2^0.583333*2^0.666667*2^0.833333*2^0.916667*2
        =1.230074486704125*1.122462307653204*1.189207115002721*1.259920758791332*2^0.416667*2^0.5*2^0.583333*2^0.666667*2^0.833333*2^0.916667*2
        =1.230074486704125*1.122462307653204*1.189207115002721*1.259920758791332*1.334840162583564*2^0.5*2^0.583333*2^0.666667*2^0.833333*2^0.916667*2
        =1.230074486704125*1.122462307653204*1.189207115002721*1.259920758791332*1.334840162583564*1.414213562373095*2^0.583333*2^0.666667*2^0.833333*2^0.916667*2
        =1.230074486704125*1.122462307653204*1.189207115002721*1.259920758791332*1.334840162583564*1.414213562373095*1.498306730694279*2^0.666667*2^0.833333*2^0.916667*2
        =1.230074486704125*1.122462307653204*1.189207115002721*1.259920758791332*1.334840162583564*1.414213562373095*1.498306730694279*1.587401418735763*2^0.833333*2^0.916667*2
        =1.230074486704125*1.122462307653204*1.189207115002721*1.259920758791332*1.334840162583564*1.414213562373095*1.498306730694279*1.587401418735763*1.781797024598103*2^0.916667*2
        =1.230074486704125*1.122462307653204*1.189207115002721*1.259920758791332*1.334840162583564*1.414213562373095*1.498306730694279*1.587401418735763*1.781797024598103*1.887749061525983*2
        =1.380712*1.189207115002721*1.259920758791332*1.334840162583564*1.414213562373095*1.498306730694279*1.587401418735763*1.781797024598103*1.887749061525983*2
        =1.641953*1.259920758791332*1.334840162583564*1.414213562373095*1.498306730694279*1.587401418735763*1.781797024598103*1.887749061525983*2
        =2.068731*1.334840162583564*1.414213562373095*1.498306730694279*1.587401418735763*1.781797024598103*1.887749061525983*2
        =2.761425*1.414213562373095*1.498306730694279*1.587401418735763*1.781797024598103*1.887749061525983*2
        =3.905245*1.498306730694279*1.587401418735763*1.781797024598103*1.887749061525983*2
        =5.851255*1.587401418735763*1.781797024598103*1.887749061525983*2
        =9.28829*1.781797024598103*1.887749061525983*2
        =16.549847*1.887749061525983*2
        =31.241958*2
        =62.483916

    答案:12^(1/12)*2^(2/12)*2^(3/12)*2^(4/12)*2^(5/12)*2^(6/12)*2^(7/12)*2^(8/12)*2^(10/12)*2^(11/12)*2=62.483916


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