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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 8: Q. 522 (page 1024)

In the following exercises, simplify.
$\frac{8 m^{4}}{16 m n^{3}}$

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given Information.

The given expression is $\frac{8 m^{4}}{16 m n^{3}} .$

02

Step 2. Simplify.

To simplify, rewrite the numerator and denominator showing the common factors.

So,

$\frac{m^{3}}{2 n^{3}} 路 \frac{8 m}{8 m}$

Now, simplify using the Equivalent Fractions Property.

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

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