Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-4 Division Properties of Exponents - Got It? - Page 440: 1


a) $y^{\frac{1}{4}}$ b) $y^{\frac{1}{4}}$ c) $\frac{k^5}{j^3}$ d) $\frac{b^5}{a^8}$ e) $\frac{z^7}{y^6}$

Work Step by Step

a) $\frac{y^{\frac{3}{4}}}{y^{\frac{1}{2}}}=y^{\frac{3}{4}-\frac{1}{2}}=y^{\frac{1}{4}}$ b) $\frac{y^{\frac{3}{4}}}{y^{\frac{1}{2}}}=y^{\frac{3}{4}-\frac{1}{2}}=y^{\frac{1}{4}}$ c) $\frac{k^6j^2}{kj^5}=k^{6-1}j^{2-5}=k^5j^{-3}=\frac{k^5}{j^3}$ d) $\frac{a^{-3}b^7}{a^5b^2}=a^{-3-5}b^{7-2}=a^{-8}b^5=\frac{b^5}{a^8}$ e) $\frac{x^{4}y^{-1}z^8}{x^4y^{-5}z}=x^{4-4}y^{-1-5}z^{8-1}=y^{-6}z^7=\frac{z^7}{y^6}$
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