5√(n^4/8m^2):5√(4m^2/n) упростить

Выражение: 52root(n^4/8*m^2):52root(4*m^2/n)

Ответ: n^(1//13)/52root8/52root4*52rootn

Решаем по действиям:1. 52root(n^4/8*m^2)=n^(1//13)/52root8*m^(1//26)  52root(n^4/8*m^2)=52root(n^4)/52root8*52root(m^2)  1.1. 52root(n^4)=n^(1//13)  1.2. 52root(m^2)=m^(1//26)2. 52root(4*m^2/n)=52root4*m^(1//26)/52rootn3. n^(1//13)/52root8*m^(1//26):(52root4*m^(1//26)/52rootn)=n^(1//13)/52root8*m^(1//26)/52root4/m^(1//26)*52rootn4. m^(1//26)/m^(1//26)=1

Решаем по шагам:1. n^(1//13)/52root8*m^(1//26):52root(4*m^2/n)  1.1. 52root(n^4/8*m^2)=n^(1//13)/52root8*m^(1//26)      52root(n^4/8*m^2)=52root(n^4)/52root8*52root(m^2)    1.1.1. 52root(n^4)=n^(1//13)    1.1.2. 52root(m^2)=m^(1//26)2. n^(1//13)/52root8*m^(1//26):(52root4*m^(1//26)/52rootn)  2.1. 52root(4*m^2/n)=52root4*m^(1//26)/52rootn3. n^(1//13)/52root8*m^(1//26)/52root4/m^(1//26)*52rootn  3.1. n^(1//13)/52root8*m^(1//26):(52root4*m^(1//26)/52rootn)=n^(1//13)/52root8*m^(1//26)/52root4/m^(1//26)*52rootn4. n^(1//13)/52root8/52root4*52rootn  4.1. m^(1//26)/m^(1//26)=1

Приводим к окончательному ответу с возможной потерей точности:

  Окончательный ответ: n^0.0769230769230769/1.06891997265126*52rootn

  По действиям:  1. 1//13~~0.0769230769230769      1.00|1_3_ _       9_1_|0.0769230769230769        90        7_8_        120        1_1_7_          30          2_6_           40           3_9_            100             9_1_              90              7_8_              120              1_1_7_                30                2_6_                 40                 3_9_                  100                   9_1_                    90                    7_8_                    120                    1_1_7_                      3  2. 52root8=1.04079959637863  3. 52root4=1.02701805070877  4. 1.04079959637863*1.02701805070877~~1.06891997265126                   X1.04079959637863       _ _ _ _ _ _ _ _ _ _ _ _ _ _1_._0_2_7_0_1_8_0_5_0_7_0_8_7_7_ _                    728559717465041                    728559717465041                    832639677102904                    000000000000000                    728559717465041                    000000000000000                    520399798189315                    000000000000000                    832639677102904                    104079959637863                    000000000000000                    728559717465041                    208159919275726                    000000000000000                    1_0_4_0_7_9_9_5_9_6_3_7_8_6_3_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _      1.0689199726512551741967815851

  По шагам:  1. n^0.0769230769230769/52root8/52root4*52rootn    1.1. 1//13~~0.0769230769230769          1.00|1_3_ _           9_1_|0.0769230769230769            90            7_8_            120            1_1_7_              30              2_6_               40               3_9_                100                 9_1_                  90                  7_8_                  120                  1_1_7_                    30                    2_6_                     40                     3_9_                      100                       9_1_                        90                        7_8_                        120                        1_1_7_                          3  2. n^0.0769230769230769/1.04079959637863/52root4*52rootn    2.1. 52root8=1.04079959637863  3. n^0.0769230769230769/1.04079959637863/1.02701805070877*52rootn    3.1. 52root4=1.02701805070877  4. n^0.0769230769230769/1.06891997265126*52rootn    4.1. 1.04079959637863*1.02701805070877~~1.06891997265126                       X1.04079959637863           _ _ _ _ _ _ _ _ _ _ _ _ _ _1_._0_2_7_0_1_8_0_5_0_7_0_8_7_7_ _                        728559717465041                        728559717465041                        832639677102904                        000000000000000                        728559717465041                        000000000000000                        520399798189315                        000000000000000                        832639677102904                        104079959637863                        000000000000000                        728559717465041                        208159919275726                        000000000000000                        1_0_4_0_7_9_9_5_9_6_3_7_8_6_3_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _          1.0689199726512551741967815851