SOLUTION: Please help me solve this polynomial: {{{(3/4)^-1(4/3)^-2}}}. Please help me solve this other polynomial: {{{2(2/5)^-2}}}.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me solve this polynomial: {{{(3/4)^-1(4/3)^-2}}}. Please help me solve this other polynomial: {{{2(2/5)^-2}}}.      Log On


   

Question 53804: Please help me solve this polynomial: %283%2F4%29%5E-1%284%2F3%29%5E-2.
Please help me solve this other polynomial: 2%282%2F5%29%5E-2.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
The rules you are going to use are:
%28a%2Fb%29%5E%28-c%29=%28b%2Fa%29%5Ec
%28a%2Fb%29%5Ec=%28a%5Ec%29%2F%28b%5Ec%29
a%5Ec%2Fa%5Ed=a%5E%28c-d%29
%28a%5Ec%29%2F%28a%5Ed%29=1%2F%28a%5E%28d-c%29%29
---------------------------------------
1.)
%28%283%2F4%29%5E-1%29%28%284%2F3%29%5E-2%29
%28%284%2F3%29%5E1%29%28%283%2F4%29%5E2%29
%28%284%5E1%29%2A%283%5E2%29%29%2F%28%283%5E1%29%2A%284%5E2%29%29
%283%5E%282-1%29%29%2F%284%5E%282-1%29%29
%283%5E1%29%2F%284%5E1%29
3%2F4
-----------------------------------------
2.)
2%282%2F5%29%5E-2
2%285%2F2%29%5E2
2%285%5E2%29%2F%282%5E2%29
5%5E2%2F%282%5E%282-1%29%29
5%5E2%2F2%5E1
25%2F2
Happy Calculating!!!