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 - Mid-Chapter Quiz - Page 446: 19



Work Step by Step

You are given $\frac{-25a^{\frac{3}{4}}b^6}{5a^{\frac{1}{2}}b^4}$.Simplify the expression: $\frac{-5a^{\frac{3}{4}}b^6}{a^{\frac{1}{2}}b^4}$ -divide -25 and 5 to get 5- -5$a^{{\frac{3}{4}}-{\frac{1}{2}}}$$b^{6-4}$ -since you are dividing powers with the same base, subtract the exponents- $\frac{3}{4}$-$\frac{1}{2}$ =$\frac{1}{4}$and 6-4=2. The simplified expression is -5$a^{1/4}$$b^{2}$
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