Algebraic Fractions

1. Find the prime factorization of the following numbers. (Make a factor tree if necessary)  45  54  36  96  100  144

 Try these on your own to prove you know what you’re doing.

 What does this equal?

 Remember, we can rewrite repeated multiplication as exponents  Example  But what is the answer?

 Written as exponents  What’s the key to dividing variables with exponents?  SUBTRACT THE EXPONENTS

 Example: Simplify  Simplify the numbers first, then worry about the variables 

 Simplify

 Isolating each part to see what happens at each level

 Simplify each of the following

 When we have to FACTOR!!!  Example: Simplify

 Simplify:

 Simplify

 CHALLENGE