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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 7: Q1. (page 463)

Simplify each expression.
$(x^{2}) (7 x^{8})$

Short Answer

Expert verified

The expression $(x^{2}) (7 x^{8})$ can be simplified to $7 x^{10}$ .

Step by step solution

01

Step 1. Write the property of product of powers.

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

02

Step 2. Apply property of product of powers.

Apply the property of product of powers to the expression obtained in step 1.

$7 x^{2} 鈰� x^{8} = 7 x^{2 + 8}$

03

Step 3. Simplify the expression.

Simplify the expression obtained in step 2.

$7 x^{10}$

Therefore, $(x^{2}) (7 x^{8})$ can be simplified to $7 x^{10}$ .

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