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Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 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 .
Question type: Mathematical calculation
Solution:
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
Answer: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
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 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 .
Question type: Mathematical calculation
Solution:
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
Answer: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