# Simplifying Monomials

Now I want you to think about everything you've learned about the
laws of exponents, multiplying monomial, and dividing monomials.

When
simplifying monomials, you will need to use ALL of this information.

This is fun, let's get started by looking at a quick summary of the
properties of exponents that are described in the lessons above.

## Properties of Exponents and Using the Order of Operations

If you have a combination of monomial expressions contained with in
grouping symbols (parenthesis or brackets), these should be evaluated
first.

### Example of Power of a Power

**Power of a Power Property** - (This is similar to
evaluating Exponents in the Order of Operations). Always evaluate a
power of a power before moving on the problem.

Example of Multiplying Monomials

When you **multiply monomial expressions**, add the exponents of like bases.

Example of Dividing Monomials

When you **divide monomial expressions**, subtract the exponents of like bases.

Ok... that was just a quick review. If you need more of a review,
please go back and review the entire lesson! Now let's look at a couple
of examples!

## Example 1: Simplifying Monomials

Example 2: Simplifying Monomials

Now you can see how we apply all of these rules to solving a more complex monomial expression! This is fun, isn't it?

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Simplifying Monomials

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