Chapter 5: Q8. (page 226)

Simplify $\frac{- 2 a^{3} b^{6}}{18 a^{2} b^{2}}$ assuming that no variable equal to 0 .

Short Answer

Expert verified

The simplified value of expression is $- \frac{a b^{4}}{9}$ .

Step by step solution

Step 1. Write down the given expression.

The given expression to simplify is $\frac{- 2 a^{3} b^{6}}{18 a^{2} b^{2}}$ .

Step 2. Simplify the given expression.

Simplifying $\frac{- 2 a^{3} b^{6}}{18 a^{2} b^{2}}$ gives,

$\begin{matrix} \frac{- 2 a^{3} b^{6}}{18 a^{2} b^{2}} = \frac{- (a^{3} b^{6})}{9 (a^{2} b^{2})} \\ = - \frac{{(a)}^{3 - 2} {(b)}^{6 - 2}}{9} .... (Using \frac{x^{a}}{x^{b}} = x^{a - b}) \\ = - \frac{{(a)}^{1} {(b)}^{4}}{9} \\ = - \frac{a b^{4}}{9} \end{matrix}$

Step 3. Conclusion.

The simplified value of expression is $- \frac{a b^{4}}{9}$ .

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 $\frac{- 2 a^{3} b^{6}}{18 a^{2} b^{2}}$ assuming that no variable equal to 0 .

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the given expression.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Pure Maths

Applied Mathematics

Probability and Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Simplify−2a3b618a2b2 assuming that no variable equal to 0 .

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the given expression.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Pure Maths

Applied Mathematics

Probability and Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Simplify $\frac{- 2 a^{3} b^{6}}{18 a^{2} b^{2}}$ assuming that no variable equal to 0 .