Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - Chapter Review Exercises - Page 670: 38

Answer

$ac\sqrt [5] {-40a^2b^3}$

Work Step by Step

Rewrite the radicand as the product of factors such that you can take the fifth root of certain factors: $\sqrt [5] {-40 • a^5 • a^2 • b^3 • c^5}$ Take the fifth roots of terms to take them out from under the radical sign: $a • c\sqrt [5] {-40a^2b^3}$ Multiply the coefficients to simplify: $ac\sqrt [5] {-40a^2b^3}$
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