SOLUTION: can someone help me to divide and simplify this rational expression: 9a^7 over 8b^2 divided by 12a^2 over 24b^7.

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Question 408777: can someone help me to divide and simplify this rational expression: 9a^7 over 8b^2 divided by 12a^2 over 24b^7.
Answer by graphmatics(170) About Me  (Show Source):
You can put this solution on YOUR website!
Lets look at it
+%289%2A%28a%5E7%29%2F%288%2A%28b%5E2%29%29%29%2F%2812%2A%28a%5E2%29%2F24%2A%28b%5E7%29%29+
The RULE for simplifying SUCH a rational expression is to multiply the top
fraction by the bottom fraction WHEN the bottom fraction is turned UPSIDE DOWN.
So we have:
+%28%289%2A%28a%5E7%29%29%2F%288%2A%28b%5E2%29%29%29%2F%2812%2Aa%5E2%2F24%2Ab%5E7%29+=
Now let simplify the NUMBERS.
=
We cancel one group of 2's and one group of 12's and get
+%28%283%2A3%2Aa%5E7%29%2F%282%2A2%2Ab%5E2%29%29%2A%28%28b%5E7%29%2F%28a%5E2%29%29+
+%28%289%2Aa%5E5%29%2F%284%29%29%2A%28%28b%5E5%29%2F%281%29%29+
+%289%2F4%29%2A%28%28ab%29%5E5%29+