SOLUTION: Simplify using exponent rules. Write the answer with positive exponents only. https://docs.google.com/document/d/1WvDRbA4pYipC9pLNNUzfvn46KWwN1aCmeV3zJjlbuQM/edit?usp=sharing

Algebra ->  Functions -> SOLUTION: Simplify using exponent rules. Write the answer with positive exponents only. https://docs.google.com/document/d/1WvDRbA4pYipC9pLNNUzfvn46KWwN1aCmeV3zJjlbuQM/edit?usp=sharing      Log On


   

Question 1182313: Simplify using exponent rules. Write the answer with positive exponents only.
https://docs.google.com/document/d/1WvDRbA4pYipC9pLNNUzfvn46KWwN1aCmeV3zJjlbuQM/edit?usp=sharing
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The given expression:

%28%282x%5E3y%5E2z%5E%28-5%29%29%283x%5E2z%5E9%29%29%2F%284x%5E5y%5E%28-4%29%29%5E2

There is nothing wrong with the solution shown by the other tutor; all the steps are mathematically correct.

However, that formal path to the answer gets pretty messy....

I would simplify the expression by looking at the constants and each variable separately and combining the pieces.

(1) Constants: %28%282%29%283%29%29%2F4%5E2+=+3%2F8

(2) x: %28%28x%5E3%29%28x%5E2%29%29%2Fx%5E10+=+1%2Fx%5E5

(3) y: y%5E2%2Fy%5E%28-8%29+=+y%5E10

(4) z: %28z%5E%28-5%29%29%28z%5E9%29=z%5E4

Put them together....

%283%28y%5E10%29%28z%5E4%29%29%2F%288x%5E5%29