SOLUTION: simplify. only positive exponents (2y)^-3 over (x^5y^7)^-2

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Question 165203: simplify. only positive exponents
(2y)^-3 over (x^5y^7)^-2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let's break up the expression

Numerator: %282y%29%5E%28-3%29=1%2F%282y%29%5E3=1%2F8y%5E3


Denominator: %28x%5E5y%5E7%29%5E%28-2%29=1%2F%28x%5E5y%5E7%29%5E%282%29=1%2F%28x%5E10y%5E14%29

So the expression %28%282y%29%5E%28-3%29%29%2F%28%28x%5E5y%5E7%29%5E%28-2%29%29 becomes %281%2F8y%5E3%29%2F%281%2F%28x%5E10y%5E14%29%29 which then simplifies to %28x%5E10y%5E14%29%2F%288y%5E3%29

Now divide to get %28x%5E10y%5E11%29%2F%288%29

So %28%282y%29%5E%28-3%29%29%2F%28%28x%5E5y%5E7%29%5E%28-2%29%29 simplifies to %28x%5E10y%5E11%29%2F%288%29