Answer :
7
Step-by-step-explanation :
[tex] {((343 ^{ \frac{4}{3} })) }^{ \frac{1}{4} } \\ = ( {7}^{3} ) ^{ \frac{4}{3} } ) ^{ \frac{1}{4} } \\ = ( {7}^{4} ) ^{ \frac{1}{4} } \\ [/tex]
[tex] = {7}^{1} = 7[/tex]
