SOLUTION: find the product. (16y)(-7x)(-7/8x^5y)

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Question 215228: find the product.
(16y)(-7x)(-7/8x^5y)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
I'm not sure what your problem is so I'll solve both possible interpretations:
Problem 1: %2816y%29%28-7x%29%28-7%2F8x%5E5y%29
First let's make everything a fraction (with the idea a cross-canceling and then multiplying afterwards):
%2816y%2F1%29%28-7x%2F1%29%28-7%2F8x%5E5y%29
Factor and cross-cancel common factors:
%288%2A2y%2F1%29%28-7x%2F1%29%28-7%2F%288x%2Ax%5E4y%29%29

leaving
%282%2F1%29%28-7%2F1%29%28-7%2Fx%5E4%29
Multiplying we get:
98%2Fx%5E4
Problem 2: %2816y%29%28-7x%29%28-7%2F8%29x%5E5y
We can use the Commutative and Associative Properties to rearrange and regroup the factors as we please. So we will gather the constant factors, the x's and the y's into separate groups:
%2816%2A%28-7%29%2A%28%28-7%29%2F8%29%29%28x%2Ax%5E5%29%28y%2Ay%29
Simplifying each group we get:
98x%5E6y%5E2