## Fractions with Exponents

#### Aligned To Common Core Standard:

**HS Num. and Quan.** - HSN.RN.A.1

How Exponents Affect Fractions - Exponents are one of the most basic components of any beginner level math class. They define the value of a value of a number and are often use for problem solving and simplifying purposes. Exponents affect fractions the same way as they impact a whole number. Exponents can also help represent fractions into whole numbers and vice versa. Exponents themselves can be represented as whole numbers and fractions. Let's try understanding them with the help of examples. First, we look at the whole number exponents. It is important to know that the exponents represent how many times a number will be multiplied with itself. For example, 82 = 8 x 8 = 64. Another example will be 53 = 5 x 5 x 5 = 125. There are also fractional exponents i.e. exponents written in the form of fraction. For example, Square Root √4 or 41/2, Cube Root 3√4 or 41/3and Fourth Root 4√4 or 41/4. These worksheets and lessons can help students become comfortable using fractions that have attached exponents.

### Printable Worksheets And Lessons

- Step-by-Step Lesson- We work with positive and negative whole numbers on fractions.
- Guided Lesson - Breakdown the core structure of a fraction with various exponential forms.
- Guided Lesson Explanation - Each problem takes a step to the next level.
- Practice Worksheet - This worksheet is entirely positive exponents to help students gain some success.
- Positive and Negative Worksheet - Both skills are incorporated here.

#### Positive Exponent Practice Sheets

Answer keys are found as the second page.

- Practice 2 - Solve for the following problems.
- Practice 3 - These fractions will drive you down the turnpike.
- Practice 4 - The help you need on these.
- Practice 5 - The 9th exponent will throw you at first.

#### Mixed Exponent Practice

More plus and minus exponents to juggle.

- Practice 2 - How do we steer you with this one?
- Practice 3 - The negative will throw you.
- Practice 4 - What is the negative of a negative?
- Practice 5 - A solid finisher practice worksheet.