SOLUTION: 2x64/8y divided by x^2y/8y^3

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Question 147982: 2x64/8y divided by x^2y/8y^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%282x%5E64%29%2F%288y%29%29%2F%28%28x%5E2y%29%2F%288y%5E3%29%29 Start with the given expression.


%28%282x%5E64%29%2F%288y%29%29%28%288y%5E3%29%2F%28x%5E2y%29%29 Multiply the first fraction %282x%5E64%29%2F%288y%29 by the reciprocal of the second fraction %28x%5E2y%29%2F%288y%5E3%29.


%28%282x%5E64%29%288y%5E3%29%29%2F%28%288y%29%28x%5E2y%29%29 Combine the fractions.


%2816x%5E64y%5E3%29%2F%288x%5E2y%5E2%29 Multiply.


%282x%5E64y%5E3%29%2F%28x%5E2y%5E2%29 Divide the coefficients 16 and 8 to get 2


2x%5E%2864-2%29y%5E%283-2%29 When you divide monomials, simply subtract the exponents.


2x%5E62y Subtract.


So %28%282x%5E64%29%2F%288y%29%29%2F%28%28x%5E2y%29%2F%288y%5E3%29%29 simplifies to 2x%5E62y