# Chapter 7 - Exponents and Exponential Functions - 7-2 Multiplying Powers With the Same Base - Practice and Problem-Solving Exercises: 38

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}}$ = $c^{\frac{3}{5}+\frac{1}{2}}$ = $c^{(\frac{3}{5})(\frac{2}{2})+(\frac{1}{2})(\frac{5}{5})}$ = $c^{\frac{6}{10}+\frac{5}{10}}$ = $c^{\frac{11}{10}}$

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