1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Laws of exponants

  1. Jun 13, 2013 #1

    reenmachine

    User Avatar
    Gold Member

    1. The problem statement, all variables and given/known data

    Simplify the following expression:

    ##\frac{(100^3)^\frac{2}{3}}{1000^\frac{1}{3}}## ÷ ##\left( \frac{-10^2}{100^\frac{1}{2}} \right)^3##


    2. Relevant equations

    Start with this side: ##\frac{(100^3)^\frac{2}{3}}{1000^\frac{1}{3}}##

    ##\frac{((10^2)^3)^\frac{2}{3}}{(10^3)^\frac{1}{3}}##

    ##\frac{(10^6)^\frac{2}{3}}{10}##

    ##\frac{10^4}{10}##

    ##10^3##

    We keep this and go on the right side of the expression:

    ##\left( \frac{-10^2}{100^\frac{1}{2}} \right)^3##

    ##\left( \frac{-10^2}{(10^2)\frac{1}{2}} \right)^3##

    ##\left( \frac{-10^2}{10} \right)^3##

    ##\left( \frac{-10^6}{10^3} \right)##

    ##-10^3##

    Then we take the two results:

    ##\frac{10^3}{-10^3}##

    ##-1##

    Is that a correct way to use the laws of exponants?

    thank you!
     
    Last edited: Jun 13, 2013
  2. jcsd
  3. Jun 13, 2013 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Looks fine to me.
     
  4. Jun 13, 2013 #3

    reenmachine

    User Avatar
    Gold Member

    thank you!
     
  5. Jun 14, 2013 #4

    Mark44

    Staff: Mentor

    Minor point: the word is exponent.
     
  6. Jun 14, 2013 #5

    reenmachine

    User Avatar
    Gold Member

    Oops , in french it's "exposant" , that's probably where the confusion came from.

    Thank you!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Laws of exponants
  1. Exponent laws (Replies: 3)

  2. Exponents ? (Replies: 8)

  3. Laws of Exponants II (Replies: 2)

Loading...