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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 9: Q 746 (page 1153)

In the following exercises, write with a rational exponent.
$\sqrt[3]{9 m}$

Short Answer

Expert verified

The simplification of the expression is ${(9 m)}^{\frac{1}{3}}$

Step by step solution

01

Step 1. Given information

Given expression is $\sqrt[3]{9 m}$

02

Step 2. Simplify and write in exponential form

$\sqrt[3]{9 m}$

Use $\sqrt[n]{a^{m}} = a^{\frac{m}{n}}$ to transform the expression

$= {(9 m)}^{\frac{1}{3}}$

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