Question 325500
{{{a^(1/7)(a^(7/3)+a^(6/7))^""}}} Start with the given expression. 



{{{a^(1/7)(a^(7/3))+a^(1/7)(a^(6/7))^""}}} Distribute.



{{{a^(1/7+7/3)+a^(1/7+6/7)^""}}} Multiply the terms by adding the exponents.



{{{a^(52/21)+a^(7/7)^""}}} Add



{{{a^(52/21)^""+a}}} Reduce and simplify



So {{{a^(1/7)(a^(7/3)+a^(6/7))=a^(52/21)^""+a}}}