Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter R - Section R.3 - Exponents, Roots, and Order of Operations - R.3 Exercises: 74

Answer

$-9$

Work Step by Step

Using order of operations and the properties of radicals, the given expression, $ \dfrac{(-9+\sqrt{16})(-3^2)}{-4-1} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{(-9+4)(-9)}{-5} \\\\= \dfrac{(-5)(-9)}{-5} \\\\= \dfrac{(\cancel{-5})(-9)}{\cancel{-5}} \\\\= -9 .\end{array}
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