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: 37

Answer

$4^{8}y^{6}x^{2}$

Work Step by Step

$(\frac{4^{-4}}{y^{3}x})^{-2}$ [ Using $\frac{1}{a^{n}}= a^{-n}]$ $= (4^{-4}y^{-3}x^{-1})^{-2}$ $= (4^{-4})^{-2}(y^{-3})^{-2}(x^{-1})^{-2}$ [Using $(a^{m})^{n} =a^{m \times n} ]$ $=4^{8}y^{6}x^{2}$
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