Chapter 7: Q11. (page 460)

Simplify each expression.
$x \cdot x^{3} \cdot x^{5}$

Short Answer

Expert verified

The expression $x \cdot x^{3} \cdot x^{5}$ can be simplified as $x^{9}$ .

Step by step solution

Step 1. Write the property of product of powers.

For any real number and any integers $m$ and $n$ , $a^{m} \cdot a^{n} = a^{m + n}$ .

Step 2. Apply property of product of powers.

Apply the property of product of powers to the given expression.

$x \cdot x^{3} \cdot x^{5} = x^{1 + 3 + 5}$

Step 3. Simplify obtained expression.

Simplify the obtained expression in step 2.

$x^{9}$

Therefore, $x \cdot x^{3} \cdot x^{5}$ can be simplified to $x^{9}$ .

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 each expression.
$x \cdot x^{3} \cdot x^{5}$

Short Answer

Step by step solution

Step 1. Write the property of product of powers.

Step 2. Apply property of product of powers.

Step 3. Simplify obtained expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Mechanics Maths

Pure Maths

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Simplify each expression.x⋅x3⋅x5

Short Answer

Step by step solution

Step 1. Write the property of product of powers.

Step 2. Apply property of product of powers.

Step 3. Simplify obtained expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Mechanics Maths

Pure Maths

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Simplify each expression.
$x \cdot x^{3} \cdot x^{5}$