College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Review Exercises: 93

Answer

$-8y^{11}p^{}$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the laws of exponents to simplify the given expression, $ \dfrac{-8y^7p^{-2}}{y^{-4}p^{-3}} .$ $\bf{\text{Solution Details:}}$ Using the Quotient Rule of the laws of exponents which states that $\dfrac{x^m}{x^n}=x^{m-n},$ the expression above simplifies to \begin{array}{l}\require{cancel} -8y^{7-(-4)}p^{-2-(-3)} \\\\= -8y^{7+4}p^{-2+3} \\\\= -8y^{11}p^{1} \\\\= -8y^{11}p^{} .\end{array}
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