Step-by-step explanation:
[tex]6 (\sqrt[7]{6} )^{5} \\ \\ = 6 \times {6}^{ \frac{5}{7} } \\ \\ ={6}^{ \frac{5}{7} + 1 } \\ \\ = {6}^{ \frac{5 + 7}{7} } \\ \\ = {6}^{ \frac{12}{7} } \\ \\ \huge \red{ \boxed{ \therefore \: 6 (\sqrt[7]{6} )^{5} = {6}^{ \frac{12}{7} }}} \\ [/tex]
Answer:
6.6 5/7
apply radical rule: n square a = a 1/n
or apply radical exponent rule: (a^b)^c= a^bc
