SOLUTION: simplify: -16x^7y5 / -4x^2y^6

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Question 151353: simplify:
-16x^7y5 / -4x^2y^6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28-16x%5E7y%5E5+%29%2F%28-4x%5E2y%5E6%29 Start with the given expression.


Expand. Remember, -16x%5E7y%5E5+=-2%2A2%2A2%2A2%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ay%2Ay%2Ay%2Ay%2Ay and -4x%5E2y%5E6=-2%2A2%2Ax%2Ax%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay


Highlight the common terms.


Cancel out the common terms.


%282%2A2%2Ax%2Ax%2Ax%2Ax%2Ax%29%2F%28y%29 Simplify.


%284%2Ax%5E5%29%2F%28y%29 Regroup.


So %28-16x%5E7y%5E5+%29%2F%28-4x%5E2y%5E6%29 simplifies to %284%2Ax%5E5%29%2F%28y%29.


In other words, %28-16x%5E7y%5E5+%29%2F%28-4x%5E2y%5E6%29=%284%2Ax%5E5%29%2F%28y%29 where x%3C%3E0 or y%3C%3E0