## Quotients of Exponents

#### Aligned To Common Core Standard:

**Grade 8 Expressions** - 8.EE.A.1

Tips for Finding the Quotients of Exponents - The lesson will be going over a key rule in the world of exponents which is related to the quotient rule. This rule can be used for dividing exponents. Let's try understanding this with a few examples. Suppose that you have the responsibility of handing out the jellybeans at a party. You have around 1,000,000,000 jellybeans to divide evenly among 10,000 people. You already know that you need to divide the numbers. But there is an easier way of doing it rather than using the long division method. We can use exponents. 1,000,000,000 has 9 zeros which can be written as 109 and 10,000 can be written as 104. What we need to do here is divided 109 with 104. It will help us determine how many jellybeans with be divided among the members. The exponent rule of quotient dictates that we can subtract the exponent below from the upper exponent considering the base is the same. 109 - 104 = 105 Our final answer is 105 which means that every person will get 100,000 jellybeans. That is a lot of jellybeans for a single individual. This set of worksheets and lessons help students understand how to divide values that contain exponents.

### Printable Worksheets And Lessons

- Simple Lesson- This includes the use of negative numbers as well.
- Complex Lesson- A two dimensional problem is given (numerals and variables).
- Guided Lesson - Each problem has a different level of difficulty for you.
- Guided Lesson Explanation - We practice using the quotient rule over the series.
- Simple Quotients of Exponents Worksheet - As basic as it gets.
- Difficult Worksheet - I would only have students that have mastered the basic skills start to work with these problems.

#### Algebra Based Quotient Rule Worksheets

It's a lot of combine like factors and solve.

- Practice 1 - There are mixed binominals.
- Practice 2 - Don't forget about the whole numbers.
- Practice 3 - Solve for the following.
- Practice 4 - Simplify for the following.

#### Multiple Variable Quotients of Exponents Worksheets

Simplify these as far as you can.

- Practice 1 - Simplify the following exponent problems. Remember that all of the answers will contain positive exponents.
- Practice 2 - Everything is positive.
- Practice 3 - Know when to subtract and add.
- Practice 4 - Write your answers using positive exponents only.

#### Positive and Negative Quotients of Exponents Sheets

Simplify these guys. Remember that all of your answers will be positive.

#### Additional Division Based Problems Sheets

Practice makes perfect!

#### Difficult Problems

Again, these are for students that have a good handle on what they are doing.

- Practice 2 - These really step up the level of critical thinking.
- Practice 3 - We would suggest planning how you will perform these calculations before you attempt them.