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