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

Step 1. Write the property of product of powers.

For any real number a 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 expression obtained in step 1.

$7 x^{2} \cdot x^{8} = 7 x^{2 + 8}$

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

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 the expression.

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Simplify each expression.x27x8

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 the expression.

One App. One Place for Learning.

Most popular questions from this chapter

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