Home
#### Algebra and Pre-Algebra Lessons

Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test
#### Algebra E-Course and Homework Information

Algebra E-course Info | Log In to Algebra E-course | Homework Calculator
#### Formulas and Cheat Sheets

Formulas | Algebra Cheat Sheets

Home » Exponents »
Dividing Monomials

# Dividing Monomials

How Do We Divide When Exponents are Involved?

## Expanded Form Examples

## Example 1

## Example 2

## Quotient

## Power of a Quotient Property

## Power of a Quotient Example 1

## Power of a Quotient Example 2

## Having Trouble With Your Homework?

## You Might Also Like These Exponent Lessons:

# Like This Page?

How Do We Divide When Exponents are Involved?

As you've seen in the prior lessons, when we work with monomials, we see a lot of exponents. You've discovered the laws of exponents and the properties for multiplying exponents, but what happens when we divide? That is the question we are going to answer in this lesson.

Let's start by taking a look at a few problems in "expanded form". Once you examine these examples, you'll discover the rule on your own.

Take a look at the exponents in the original problem and then analyze the exponents in the answer for each example. Can you figure out the rule for exponents when you are dividing?

When you ** divide** powers that have the **same base**, you **subtract** the exponents.

That's a pretty easy rule to remember! It's the opposite of the multiplication rule. When you multiply powers that have the same base, you add the exponents and when you divide powers that have the same base, you subtract the exponents.

Let's look at a couple of examples.

That's a pretty easy rule to remember! Let's take a look at one more property. This property is called, Power of a Quotient Property.

So, what is a quotient?

A Quotient is an answer to a division problem.

Let's take a look at what happens when you raise a fraction (or a division problem) to a power. Remember: A division bar and fraction bar are synonomous!

To find the power of a quotient, raise the numerator to the power, and the denominator to the power. Then divide.

Let's take a look at a few examples.

Enter your monomial or polynomial into the solver below and click "simplify" to see the correct answer.

Sign Up for Algebra Class E-courses

Click here to retrieve a lost password.

Custom Search

- FREE Solving Equations E-course
- Algebra Class E-course
- Algebra Class Products
- Algebra Practice Test
- Algebra Readiness Test
- Homework Answer Calculator
- Practice Worksheets

- Site Map
- Pre-algebra Refresher
- Solving Equations
- Graphing Equations
- Writing Equations
- Systems of Equations
- Inequalities
- Functions
- Exponents & Monomials
- Polynomials
- Quadratic Equations
- Algebra 1 Final Exam
- Square Roots and Radicals

- SAT Online Course
- Algebra Cheat Sheets - Very Popular!!
- Algebra Formulas
- Online Resources
- Contact Me
- I Want to Hear From You!
- Algebra Blog
- About Me

Copyright © 2009-2015 Karin Hutchinson ALL RIGHTS RESERVED

## Comments

We would love to hear what you have to say about this page!