Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

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

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