Multiplying monomials requires that you understand and can apply the laws of exponents. Let's quickly review the laws of exponents that will be needed.
Let's look at a few examples.
Each line of these examples shows a different step.
I broke it down step by step for you to see the exact process. You will be able to do a lot of this work mentally, which I will show you later on.
I wanted you to understand each step, that's why these explanations are so long.
This first example shows how you use multiplying powers with the same base in order to multiply monomials.
This second example will utilize the Power of a Product property in order to simplify the expression.
One more example, but this time I'm not going to show each individual step. As you master this skill, this is the way in which you will multiply monomials. It's actually pretty quick!
For further help with monomials, you may want to visit our next page on dividing monomials.