Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.2 - More Work with Exponents and Scientific Notation - Exercise Set: 17

Answer

$\frac{36}{p^{12}}$

Work Step by Step

We are given the expression $(\frac{6p^{6}}{p^{12}})^{2}$. First, we can use the power rule to simplify. $(\frac{6p^{6}}{p^{12}})^{2}=\frac{(6p^{6})^{2}}{(p^{12})^{2}}=\frac{6^{2}p^{6\times2}}{p^{12\times2}}=\frac{36p^{12}}{p^{24}}$ Next, we can use the quotient rule. $36\times(p^{12-24})=36p^{-12}=\frac{36}{p^{12}}$
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