## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 10 - Exponents and Radicals - 10.3 Multiplying Radical Expressions - 10.3 Exercise Set: 54

#### Answer

$abc\sqrt[5]{ab^3c^4}$

#### Work Step by Step

Extracting the factors that are perfect roots of the given index, the given expression, $\sqrt[5]{a^6b^8c^9} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[5]{a^5b^5c^5\cdot ab^3c^4} \\\\= \sqrt[5]{(abc)^5\cdot ab^3c^4} \\\\= abc\sqrt[5]{ab^3c^4} \end{array} * Note that it is assumed that no radicands were formed by raising negative numbers to even powers.

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