SOLUTION: How do you solve this rational expression? (5X^3)(16X^2)/80X^3. I have tried doing it on my own, but my teacher did not explain how to do it...

Algebra ->  Exponents -> SOLUTION: How do you solve this rational expression? (5X^3)(16X^2)/80X^3. I have tried doing it on my own, but my teacher did not explain how to do it...      Log On


   

Question 141431: How do you solve this rational expression?
(5X^3)(16X^2)/80X^3.
I have tried doing it on my own, but my teacher did not explain how to do it...
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
+%28%285X%5E3%29%2816X%5E2%29%29%2F%2880X%5E3%29+

First multiply 5 times 16 =80. Secondly, when you multiply with the same base number, you must ADD the exponents!
+%2880x%5E5%29%2F%2880X%5E3%29+

Next, divide out the 80s, and when you divide, you must SUBTRACT the exponents!
+x%5E2

You probably need additional explanation! I have a complete explanation that is designed for folks who have trouble with math. See my own website by clicking on my tutor name "rapaljer" anywhere in algebra.com. Take the second link on my homepage, which is "Basic, Intermediate, and College Algebra: One Step at a Time." Click on Basic Algebra, then click on Chapter 2, and look for Section 2.12 Positive Exponents. At least I think it is Section 2.12.

See if this helps.

R^2