Properties of exponents


We will show 8 properties of exponents. Let x and y be a number not equal to zero and let n and m be any integers






Property #1

x0 = 1

Example: 40 = 1 and (2500000000000000000000)0 = 1

Property #2

xn × xm = xn + m

Example: 46 × 45 = 46 + 5 = 411

Property #3

xn ÷ xm = xn − m

Example: 46 ÷ 45 = 46 − 5 = 41

Property #4

(xn)m = xn × m

(52)4 = 52 × 4 = 58

Property #5

(x × y)n = xn × yn

(6 × 7)5 = 65 × 75



Property #6

x-n = 1 ÷(xn) = 1/(xn)

8-4 = 1 ÷ (84) = 1 / (84)

Property #7

(x/y)n = xn / yn

(8/5)4 = 84 / 54

Property #8

Third root of 27


Any questions about properties of exponents? Let me know.





Recent Articles

  1. Factoring Quadratic Equations Worksheet

    Oct 17, 17 05:34 PM

    Factoring quadratic equations worksheet-get some practice factoring quadratic equations

    Read More

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

            Follow me on Pinterest


Page copy protected against web site content infringement by Copyscape





Recent Lessons

  1. Factoring Quadratic Equations Worksheet

    Oct 17, 17 05:34 PM

    Factoring quadratic equations worksheet-get some practice factoring quadratic equations

    Read More

  Our Top Pages

Formula for percentage

Compatible numbers

Basic math test

Basic math formulas

Types of angles

Math problem solver

Algebra word problems

Surface area of a cube

Finding the average 

Scale drawings

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!


Everything you need to prepare for an important exam!

K-12 tests, GED math test, basic math tests, geometry tests, algebra tests. 


Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.

 Recommended

Scientific Notation Quiz

Types of Angles Quiz

Graphing Slope Quiz

Adding and Subtracting Matrices Quiz  

Factoring Trinomials Quiz 

Solving Absolute Value Equations Quiz  

Order of Operations Quiz