Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q25.

Expert-verified

Algebra 2

Found in: Page 476

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Simplify the expression $\frac{p^{3}}{2 q} \div \frac{- p}{4 q}$ .

The simplified value of expression is $- 2 p^{2}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Write down the given expression.

The given expression is $\frac{p^{3}}{2 q} \div \frac{- p}{4 q}$ .

Step 2. Simplify the expression.

The given expression $\frac{p^{3}}{2 q} \div \frac{- p}{4 q}$ is simplified as:

$\begin{array}{l} \frac{p^{3}}{2 q} \div \frac{- p}{4 q} = \frac{p^{3}}{2 q} \times - \frac{4 q}{p} \\ = - \frac{4}{2} \times \frac{p^{3} q}{p q} \\ = - 2 \cdot p^{2} q^{0} \\ = - 2 p^{2} \end{array}$

Step 3. Conclusion.

The simplified value of expression is $- 2 p^{2}$ .

Most popular questions for Math Textbooks

Simplify the expression $\frac{3 x}{4 y^{2}} - \frac{y}{6 x}$ .

Simplify the expression $\frac{4 w + 4}{3} \cdot \frac{1}{w + 1}$ .

Simplify the expression $\frac{a}{a^{2} - a - 20} + \frac{2}{a + 4}$ .

A parallelogram with an area of $6 x^{2} - 7 x - 5$ square units has a base of $3 x - 5$ units. Determine the height of the parallelogram.

Compare the quantity in Column A and the quantity in column B. Then determine whether:

The quantity in Column A is greater,
The quantity in Column B is greater,
The two quantities are equal, or
The relationship cannot be determined from the information given.

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free