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 - Page 268: 52

Answer

$\dfrac{1}{y^{6}b^{4}x^{4}}$

Work Step by Step

Using laws of exponents, the given expression simplifies to \begin{align*} & y^2\left( y^2bx \right)^{-4} \\\\&= y^2\left( y^{2(-4)}b^{-4}x^{-4} \right) \\\\&= y^2\left( y^{-8}b^{-4}x^{-4} \right) \\\\&= y^{2+(-8)}b^{-4}x^{-4} \\\\&= y^{-6}b^{-4}x^{-4} \\\\&= \dfrac{1}{y^{6}b^{4}x^{4}} .\end{align*}
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