For this case we must find an expression equivalent to:
[tex]\frac {\sqrt [7] {x ^ 2}} {\sqrt [5] {y ^ 3}}[/tex]
By definition of properties of powers and roots we have:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
So, rewriting the expression we have:
[tex]\frac {x ^ {\frac {2} {7}}} {y ^ {\frac {3} {5}}} =[/tex]
By definition of power properties we have:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
So:
[tex]x ^ {\frac {2} {7}} * y ^ {- \frac {3} {5}}[/tex]
Answer:
Option A
