Chapter 9: Q16. (page 476)

Simplify the expression $\frac{{(- 3 x^{2} y)}^{3}}{9 x^{2} y^{2}}$ .

Short Answer

Expert verified

The simplified value of expression is $- 3 x^{4} y$ .

Step by step solution

Step 1. Write down the given expression.

The given expression is $\frac{{(- 3 x^{2} y)}^{3}}{9 x^{2} y^{2}}$ .

Step 2. Simplify the expression.

The given expression $\frac{{(- 3 x^{2} y)}^{3}}{9 x^{2} y^{2}}$ is simplified as:

$\begin{array}{l} \frac{{(- 3 x^{2} y)}^{3}}{9 x^{2} y^{2}} = - \frac{27 x^{6} y^{3}}{9 x^{2} y^{2}} \\ = - \frac{3 x^{6} y^{3}}{x^{2} y^{2}} \\ = - 3 x^{6 - 2} y^{3 - 2} \\ = - 3 x^{4} y \end{array}$

Step 3. Conclusion.

The simplified value of expression is $- 3 x^{4} y$

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 expression $\frac{{(- 3 x^{2} y)}^{3}}{9 x^{2} y^{2}}$ .

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the expression.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Geometry

Statistics

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

Simplify the expression -3x2y39x2y2.

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the expression.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Geometry

Statistics

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

Simplify the expression $\frac{{(- 3 x^{2} y)}^{3}}{9 x^{2} y^{2}}$ .