Chapter 7: Q3. (page 430)

Simplify each expression.
${[{(2 x y^{3})}^{2}]}^{3}$

Short Answer

Expert verified

The required simplified value is represented by $2^{6} x^{6} y^{18}$

Step by step solution

Step 1. Write the variables with the both global exponents.

By using the global exponents 2 and 3, rewrite the provided expression.

$\begin{matrix} {[2^{2} x^{2} y^{3 \times 2}]}^{3} = {[2^{2} x^{2} y^{6}]}^{3} \\ = [2^{2 \times 3} x^{2 \times 3} y^{6 \times 3}] \end{matrix}$

Step 2. Simplify the exponential terms.

Perform multiplication between the exponents.

$2^{6} x^{6} y^{18}$

Step 3. Write the conclusion.

The obtained expression is $2^{6} x^{6} y^{18}$ which cannot be simplified further so it’s the required simplification.

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 each expression.
${[{(2 x y^{3})}^{2}]}^{3}$

Short Answer

Step by step solution

Step 1. Write the variables with the both global exponents.

Step 2. Simplify the exponential terms.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Decision Maths

Discrete Mathematics

Applied Mathematics

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Simplify each expression.[2xy32]3

Short Answer

Step by step solution

Step 1. Write the variables with the both global exponents.

Step 2. Simplify the exponential terms.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Decision Maths

Discrete Mathematics

Applied Mathematics

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Simplify each expression.
${[{(2 x y^{3})}^{2}]}^{3}$