Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Review Exercises - Page 143: 108

Answer

$\displaystyle \frac{6(2x+1)}{x^{3/2}}$

Work Step by Step

Manipulating exponents, we find that $ A^{-1/2}=A^{-3/2+1}=A^{-3/2}\cdot A^{1}$ We can factor our $6x^{-3/2}$. $12x^{-1/2}+6x^{-3/2}=6x^{-3/2}(2x+1)$ If we want all positive exponents, we apply $ a^{-n}=\displaystyle \frac{1}{a^{n}}$ = $\displaystyle \frac{6(2x+1)}{x^{3/2}}$
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