In this video, we are going to look at how to multiply and divide terms with exponents. After you finish this lesson, view all of our Pre-Algebra lessons and practice problems. After you finish this lesson, view all of our Algebra 1 lessons and practice problems.
Example of Multiplying Terms with Exponents
To solve the following:
We add the exponents when the bases are the same, to get
To solve something more complex such as
we multiply the constants first, then we multiply the terms with the same base to get
To solve the following:
we subtract the exponents when the bases are the same, to get
Other examples:
Multiplying Terms that have Exponents and the Same Base
Dividing Terms that have Exponents and the Same Base
Examples of Properties of Exponents
Example 1
First, we simply multiply the constants
Then, we multiply the terms with the same base
Now, we have:
Example 2
First we have to divide the constants
In dividing, we just have to subtract the exponents
Now, we have:
Video-Lesson Transcript
In this video, we are going to look at how to multiply and divide terms with exponents.
Let’s go to Multiplication first.
We have
So we have
Another example,
So instead of writing it all out, we just have to add the exponents.
In Multiplying, we just have to add the exponents and will have
The final answer is
Next, we have .
They have different base so the final answer is just
Let’s move on to a more complicated one.
You can multiply this simply by multiplying the two coefficients first
Then, the two with the similar base
We will have
Then
And the answer is
Our final answer is
Now, let’s move on to Division.
So
We’ll cancel out and will come up with
So in Dividing, we just have to subtract the exponents.
Another example is
It should be
And we’ll have