Exponents Worksheets

Free Exponents Worksheets with Complete Answer Keys

Are you looking for some free Exponents Worksheets to help you to practice and learn important math topics such as applying the laws of exponents, performing operations with exponents, negative exponents, and even scientific notation?

If so, this page share a free library of printable exponents worksheets that can be downloaded as PDF files. Each exponent practice worksheet includes an answer key so that you can check your answers and assess your progress and understand of various topics and skills related to exponents.

To download any of our free exponents worksheets, you can click on any of the blue text links in the free library below. When you click on a text link, a new window will open with a preview of the worksheet along with an option to save the worksheet as a PDF file or to print it. And, if you need a quick review of some important math skills related to exponents, continue on to the second part of this guide, where we will review the laws of exponents and other important math skills involving exponents.

All of the free exponents worksheets in the library below are sample worksheets from the Mashup Math Infinite Worksheet Libraries available on the Mashup Math. | Info: How to Download/Print

Exponents Worksheets

🛑 WAIT! Do You Want More FREE Topic-Specific Math Worksheets?

Check out our Free Math Worksheets Library, where you will find hundreds of PDF math worksheets with complete answer keys for Grades K-9, Algebra, and Geometry!

Exponent Practice Worksheet Review

Do you need some help with solving some of the problems on any of the exponents worksheets in the library above? If so, then you will surely benefit from a quick review of some important math skills and definitions related to exponents.

For starters, it is incredibly important that you are familiar with and understand the laws of exponents, which are a set of rules that can be used to simplify an expression that has an exponent.

Here is a list of the laws of exponents and what they mean:

• Product Law: a^b x a^c = a^(b+c)

• Quotient Law: a^b ➗ a^c = a^(b-c)

• Power of a Power Law: (a^b)^c = a^(bc)

• Power of a Product Law: (ab)^c = a^b x a^c

• Negative Exponent Law: a^-b = 1/(a^b)

• Zero Exponent Law: a⁰=1

These six laws of exponents are summarized in Figure 01 below:

You will need to understand these laws of exponents to solve many of the problems on the exponents worksheets shared in the library above.

For example, the product law of exponents tells us that when multiplying two or more expressions with the same base, you can add the exponents together without changing the base.

Here are a few examples of how you can use the product law of exponents to simplify expressions:

• 9³ x 9² = 9⁷

• 4⁴ x 4⁸ = 4¹²

• 10³ x 10² x 10⁵ = 10¹⁰

As long as the bases are the same, you can simplify the expression by adding the exponents together and keeping the base the same.

Another useful exponent law to know is the product of a product law of exponents, which tells us that when you raise an entire expression to an exponent, you can simplify the expression by raising each term of the expression by that exponent.

Here are a few examples of how you can use the product of a product law of exponents to simplify expressions:

• (x⁴)³ = x¹²

• (abc)³ = a³b³c³

• (2x²y⁵)² = 4x⁴y¹⁰

To use this rule correctly, you are essentially just distributing the exponent to each term of the expression that is in parenthesis.

You can learn more about all of the laws of exponents by visiting our free guide: Exponent Rules Explained (with Free Chart)