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. Bessy and Bob algebra word problem

    Jul 28, 17 02:38 PM

    Bessy has 6 times as much money as Bob, but when each earn $6. Bessy will have 3 times as much money as Bob. How much does each have before and after

    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. Bessy and Bob algebra word problem

    Jul 28, 17 02:38 PM

    Bessy has 6 times as much money as Bob, but when each earn $6. Bessy will have 3 times as much money as Bob. How much does each have before and after

    Read More