algebra - radicals and rational exponent problem

$\displaystyle \left( \frac{a^{-3/m} \cdot b^{6/n}}{a^{-6/m} \cdot b^{9/n}}\right)^{-1/3} $

thats the orginal problem, heres my work

$\displaystyle \left( \frac{a^{6/m} \cdot b^{6/n}}{a^{3/m} \cdot b^{9/n}}\right)^{-1/3} $

$\displaystyle \left( {a^{3/m} \cdot b^{-3/n}}\right)^{-1/3} $

ok iam having extreme difficulty w/ latex past this point so ill write out what i did from this step, so i flipped them again w/ the positive b^3/n on top and a^3/m on bottom, then applied the positive 1/3 to each and my wrong answer is b^n over a^m

the answer from a algebra problem solver i have is 1/a^1/m b^5/n

i have no idea where i went wrong, sorry i couldnt finish up in latex

Re: algebra - radicals and rational exponent problem

Re: algebra - radicals and rational exponent problem

Quote:

Originally Posted by

**mathmathmathmathmathmathm** a^(6/m) * b^(9/n)^(-1/3)[/tex]

$\displaystyle \frac{a^(-3/m) * b^(6/n)}{a^(6/m) * b^(9/n)^(-1/3} $

If there is more that one character in an exponent you must use {}.

[tex]\left( \frac{a^{-3/m} \cdot b^{6/n}}{a^{6/m} \cdot b^{9/n}}\right)^{-1/3} [/tex]

$\displaystyle \left( \frac{a^{-3/m} \cdot b^{6/n}}{a^{6/m} \cdot b^{9/n}}\right)^{-1/3} $