Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-5 Division Properties of Exponents - Practice and Problem-Solving Exercises: 22

Answer

$\dfrac{x^4}{y^4}$

Work Step by Step

RECALL: (i) $a^m \cdot a^n = a^{m+n}$ (ii) $a^{-m} = \dfrac{1}{a^m}, a\ne0$ (iii) $a^0=1, a\ne0$ Use the rules above to have: $=x^{5-1}y^{-8-(-4)}z^{3-3} \\=x^4y^{-8+4}z^{0} \\=x^4y^{-4}(1) \\=x^4 \cdot \dfrac{1}{y^4} \\=\dfrac{x^4}{y^4}$
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