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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 382 (page 737)

Simplify $\frac{9 m^{4}}{18 {mn}^{3}}$

Short Answer

Expert verified

Simplified answer is $\frac{m^{3}}{2 n^{3}} .$

Step by step solution

01

Step 1. Given Data

Given expression is $\frac{9 m^{4}}{18 {mn}^{3}} .$

02

Step 2. Factorization

On Factorizing,

$= \frac{9 . m . m^{3}}{9.2 . m . n^{3}}$

On dividing out the common factor and simplify,

$= \frac{m^{3}}{2 . n^{3}} = \frac{m^{3}}{2 n^{3}}$

The simplified expression is $\frac{m^{3}}{2 n^{3}} .$

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