Chapter 5: Q. 114 (page 521)

In the following exercises, simplify each expression using the Product Property
$x^{4} \cdot x^{- 2} \cdot x^{- 3}$

Short Answer

Expert verified

The simplified expression is

$x^{4} \cdot x^{- 2} \cdot x^{- 3} = x^{- 1}$

Step by step solution

Step 1. Given information.

The given expression is

$x^{4} \cdot x^{- 2} \cdot x^{- 3}$

We have to simplify the expression

Step 2. Product Property

If $a$ is a real number and $m$ and $n$ are integers, then

$a^{m} \cdot a^{n} = a^{m + n}$

Step 3. Simplify the expression

Using the Product Property

$\begin{matrix} x^{4} \cdot x^{- 2} \cdot x^{- 3} = x^{2} \cdot x^{- 3} \\ = x^{- 1} \end{matrix}$

So, $x^{4} \cdot x^{- 2} \cdot x^{- 3} = x^{- 1}$

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In the following exercises, simplify each expression using the Product Property
$x^{4} \cdot x^{- 2} \cdot x^{- 3}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Product Property

Step 3. Simplify the expression

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In the following exercises, simplify each expression using the Product Propertyx4⋅x−2⋅x−3

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Product Property

Step 3. Simplify the expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Calculus

Statistics

Theoretical and Mathematical Physics

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify each expression using the Product Property
$x^{4} \cdot x^{- 2} \cdot x^{- 3}$