Which of the following is the simplified form of ^7 radical x • ^7 radical x • ^7 radical x

For this case we must find an expression equivalent to:[tex]\sqrt [7] {x} * \sqrt [7] {x} * \sqrt [7] {x}[/tex]By definition of properties of powers and roots we have:[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]So, rewriting the given expression we have:[tex]x ^ {\frac {1} {7}} * x ^ {\frac {1} {7}} * x ^ {\frac {1} {7}} =[/tex]To multiply powers of the same base we put the same base and add the exponents:[tex]x ^ {\frac {1} {7} + \frac {1} {7} + \frac {1} {7}} =\\x ^ {\frac {3} {7}}[/tex]Answer:Option 1