Chapter 7: Q. 8 (page 651)

Simplify the rational expression $\frac{36 v^{3} w^{2}}{27 v w^{3}} .$

Short Answer

Expert verified

Simplified form of the given rational expression is $\frac{4 v^{2}}{3 w}$ .

Step by step solution

Step 1. Given information

Given rational expression is $\frac{36 v^{3} w^{2}}{27 v w^{3}} .$

We have to simplify the given rational expression.

Step 2. Simplification of the rational expression

To simplify , first we have to find out common factor and divide out from both numerator and denominator, then we get the simplified form of the expression.

Here common factor is $9 v w^{2}$ , then the simplified form of the given rational expression becomes $\frac{36 v^{3} w^{2}}{27 v w^{3}} = \frac{\frac{36 v^{3} w^{2}}{9 v w^{2}}}{\frac{27 v w^{3}}{9 v w^{2}}} = \frac{4 v^{2}}{3 w}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Simplify the rational expression $\frac{36 v^{3} w^{2}}{27 v w^{3}} .$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplification of the rational expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Calculus

Statistics

Geometry

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Simplify the rational expression 36v3w227vw3.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplification of the rational expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Calculus

Statistics

Geometry

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Simplify the rational expression $\frac{36 v^{3} w^{2}}{27 v w^{3}} .$