0.4^1\7*4^3\7*5^15\7

[latex] 0,4^{ \frac{1}{7} }* 4^{ \frac{3}{7}}* 5^{ \frac{15}{7} }= [/latex] [latex]= 0,4^{ \frac{1}{7} }* (4^{3}) ^{ \frac{1}{7} }* 5^{15} ^{ \frac{1}{7}}= [/latex] [latex] \sqrt[7]{0,4* 4^{3}* 5^{15}}= \sqrt[7]{0,4*64*5* 5^{14} }= [/latex] [latex]= \sqrt[7]{128*(5^{2}) ^{7} } = \sqrt[7]{ 2^{7}*(5^{2}) ^{7}}= [/latex] [latex] \sqrt[7]{ (2* 5^{2}) ^{7} }= \sqrt[7]{ 50^{7} }=50 [/latex]