# 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

Any questions about properties of exponents? Let me know.

## Recent Articles

1. ### Factoring Quadratic Equations Worksheet

Oct 17, 17 05:34 PM

New math lessons

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

## Recent Lessons

1. ### Factoring Quadratic Equations Worksheet

Oct 17, 17 05:34 PM

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.