Answer
The simplified expression is $c^{\frac{11}{10}}$
Work Step by Step
We need to find the common denominator in order to simplify the exponents and get the algebraic expression under one exponent.
To simplify
$c^{\frac{3}{5}}$$\times$$c^{\frac{1}{2}}$ = $c^{\frac{3}{5}+\frac{1}{2}}$ = $c^{(\frac{3}{5})(\frac{2}{2})+(\frac{1}{2})(\frac{5}{5})}$ = $c^{\frac{6}{10}+\frac{5}{10}}$ = $c^{\frac{11}{10}}$
