Intermediate Algebra (6th Edition)

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

Chapter 5 - Review - Page 329: 34

Answer

$\dfrac{2}{27z^{3}}$

Work Step by Step

Using laws of exponents, then, \begin{array}{l} \dfrac{2(3yz)^{-3}}{y^{-3}} \\\\= \dfrac{2(3^{-3}y^{-3}z^{-3})}{y^{-3}} \\\\= \dfrac{2(y^{-3-(-3)})}{3^{3}z^{3}} \\\\= \dfrac{2(y^{0})}{3^{3}z^{3}} \\\\= \dfrac{2}{27z^{3}} .\end{array}
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