Q. 114 - Intermediate Algebra

Question

In the following exercises, simplify each expression using the Product Property 

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

Step-by-Step Solution

Answer

The simplified expression is

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

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

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

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