Step 1:
First,
[tex]\text{Express 3}^{\frac{6}{5}}\text{ in the form of }\sqrt[c]{a^b}[/tex][tex]3^{\frac{6}{5}}\text{ = }\sqrt[5]{3^6}\text{ = }\sqrt[C]{a^b}[/tex]Step 2:
Compare the right hand side with the left hand side.
Therefore,
a = 3, b = 6 and c = 5