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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 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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Most popular questions from this chapter

In the following exercises, divide the rational expressions.

$\frac{\frac{2 a^{2} - a - 21}{5 a + 20}}{\frac{a^{2} + 7 a + 12}{a^{2} + 8 a + 16}}$

Simplify the complex rational expression by writing it as division:

$\frac{\frac{1}{x^{2} - 7 x + 12}}{\frac{2}{x - 4}}$

Write the steps you would use to explain solving rational inequalities to your little brother.

Divide the rational expression $\frac{3 y^{2} - 12 y - 63}{4 y + 3} \div (6 y^{2} - 42 y)$

In the following exercises, divide the rational expressions.

$\frac{3 s^{2}}{s^{2} - 16} \div \frac{s^{3} - 4 s^{2} + 16 s}{s^{3} - 64}$

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