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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 592 (page 857)

In the following exercises, simplify. Assume all variables are positive.
$\frac{\sqrt[3]{128}}{\sqrt[3]{54}}$

Short Answer

Expert verified

The simplification of the rational radicand $\frac{\sqrt[3]{128}}{\sqrt[3]{54}}$ is $\frac{4}{3} .$

Step by step solution

01

Step 1. Given Information

We have $\frac{\sqrt[3]{128}}{\sqrt[3]{54}}$

02

Step 2. Factor the radicand

$\frac{\sqrt[3]{128}}{\sqrt[3]{54}} = \frac{\sqrt[3]{2 脳 2 脳 2 脳 2 脳 2 脳 2 脳 2}}{\sqrt[3]{2 脳 3 脳 3 脳 3}}$

03

Step 3. Simplify the factor

$= \frac{2 脳 2 脳 \sqrt[3]{2}}{3 脳 \sqrt[3]{2}} = \frac{4}{3}$

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Most popular questions from this chapter

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