Simplify. Assume all variables are positive. \[ \frac{c^{\frac{13}{5}}}{c^{\frac{6}{5}}} \] Write your answer in the form A or \( \frac{A}{B^{\prime}} \) where \( A \) and \( B \) are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

To simplify the expression \(\frac{c^{\frac{13}{5}}}{c^{\frac{6}{5}}}\), we can use the property of exponents which states that \(\frac{a^m}{a^n} = a^{m-n}\). Here, we have: \[ \frac{c^{\frac{13}{5}}}{c^{\frac{6}{5}}} = c^{\frac{13}{5} - \frac{6}{5}} = c^{\frac{13 - 6}{5}} = c^{\frac{7}{5}} \] Thus, the simplified form of the expression is: \[ c^{\frac{7}{5}} \] In the desired format, you can express this as: \[ \frac{c^7}{c^5} \] But the simplest answer in the required format is: \[ c^{\frac{7}{5}} \]