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*52rootnРешаем 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)/52rootn 3. n^(1//13)/52root8*m^(1//26):(52root4*m^(1//26)/52rootn)=n^(1//13)/52root8*m^(1//26)/52root4/m^(1//26)*52rootn 4. m^(1//26)/m^(1//26)=1Решаем 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)/52rootn 3. 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)*52rootn 4. 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