basic mathematics image
 basic mathematics image

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-image

Any questions about properties of exponents? Let me know.




Need a Quick Answer to your Basic Mathematics Problems?
Get an answer in 10 minutes or less from a math expert!


Justanswer features top-notch math experts handpicked by personnel after they have taken and passed a rigourous math test and after their credentials have been verified by a third party

Most math experts have bachelor's or master's degree in math or a related field



I am also an expert for justanswer. If you want me to answer your questions, sign in, browse the list of math experts, select my name or ask for me (Jetser Carasco) before sending your question(s)

Ask a Math Tutor Online

Get a one-on-one online session with a Math Tutor.

JustAnswer

Justanswer is 100% RISK FREE.You Pay Only for the Answers You Like. Fees are Typically $9-$15









Page copy protected against web site content infringement by Copyscape





Bookmark and Share




Fractions-book-image











|Are you a fan of this site? Support us |Our awards! |Our partners |About me |Disclaimer |Build your website! |Advertise on my site |Try our free toolbar |Like us on Facebook |Take our survey|
Copyright © 2008. Basic-mathematics.com. All right reserved