SOLUTION: Part 1: Show the expanded form and simplification of x^4 divided by x^2 Explain in your own words how you can simplify x^4 divided by x^2 without having to write the expanded form

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Part 1: Show the expanded form and simplification of x^4 divided by x^2 Explain in your own words how you can simplify x^4 divided by x^2 without having to write the expanded form      Log On


   

Question 336618: Part 1:
Show the expanded form and simplification of x^4 divided by x^2 Explain in your own words how you can simplify x^4 divided by x^2 without having to write the expanded form.
Part 2:
Create your own fraction with like bases, coefficients, and show its simplification.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Part 1

Long way


So %28x%5E4%29%2F%28x%5E2%29=x%5E2 where x%3C%3E0


The short cut to simplifying the above is to simply subtract exponents: %28x%5E4%29%2F%28x%5E2%29=x%5E%284-2%29=x%5E2


Before you use the shortcut exclusively, simplify a few more problems using the long way so you understand what's going on.


Part 2

I'll leave this part up to you. Just remember to use the identity %28x%5E%28y%29%29%2F%28x%5E%28z%29%29=x%5E%28y-z%29


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my website.

Jim