Question 312474: simplify the following expression:
3x^3 y^4 z^-2
--------------
6x^-1 y^3 z^-3
I don't get how to do it, I've tried everything, Please help
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! You need to start by dividing out the 3 with the 6, which leaves a factor of 2 in the denominator. Next, remember the Laws of Exponents, where when you divide with the same base number, you SUBTRACT the exponents. When you subtract the exponents, you get
 .
Don't forget the 2 factor in the denominator:
 or 
If you or anyone needs extra help with the Laws of Exponents, please see my own website. Click on my tutor name "Rapalje" anywhere in algebra.com. On my information page, click on the link to my Homepage. Once you find my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Then choose "Basic Algebra", and look in Chapter 2. Sections 2.12 and 2.13 contain a detailed explanation of this topic, complete with examples, exercises, and most importantly, ALL of the answers. Many of the exercises in these sections are explained IN COLOR in the corresponding "Math in Living Color" pages. My own students used to think my explanations were a LOT easier to understand than the traditional textbooks. You might like my website for an alternative explanation, or for extra problems for practice! It's all FREE. If you get tired of math, then see the Joke Page!! If you like it please recommend it to friends.
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
|
|
|
