SOLUTION: Please help me to solve {{{(36a^8b^2/ab)*(6/ab^2)^-1}}}

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Question 27105: Please help me to solve %2836a%5E8b%5E2%2Fab%29%2A%286%2Fab%5E2%29%5E-1

Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
%2836a%5E8b%5E2%2Fab%29%2A%286%2Fab%5E2%29%5E-1
This problem's not as bad as it looks, just work within each parentheses and remember all of your rules for exponents.
Taking a look at the inside of the first parentheses. Note that you can break it up into smaller parts by terms if the whole thing looks intimidating. So rather than think through:
%2836a%5E8b%5E2%29%2Fab
36a%5E8-1b%5E2-1
36a%5E7b%5E1
When you raise this to a negative exponent like -1, it's usally easiest to just take the reciprical of the parentheses and then raise it to positive 1:
%28ab%5E2%2F6%29%5E1
%28a%5E1%2B1b%5E2%2B1%2F6%5E1%29
a%5E2b%5E3%2F6
Now lets mltiply what we have;
36a%5E7b%5E1*%28a%5E2b%5E3%29%2F6
36a%5E7%2B2b%5E1%2B3%2F6
6a%5E9b%5E4
=)