2. (6^(-1/3) a^4 b^-3) / ( 6^(5/3) a^-2 b^4 c^3)
(dots used for spacing purposes)
a^4......................./.......6^(5/3) * b^4 * c^3
---------------------- /-------- ----------------
6^(1/3) * b^3 a^2
which simplifies to:
a^4 * a^2
-----------------------------------------------------
6^(1/3) * b^(1/3) * 6^(5/3) * b^4 * c^3
which simplifies to:
a^6
---------
6^(6/3) * b^(13/3) * c^3
a^6
-----------------
6^2 * b^(13/3) * c^3
a^6
----------------
36 * b^(13/3) * c^3
(dots used for spacing purposes)
a^4......................./.......6^(5/3) * b^4 * c^3
---------------------- /-------- ----------------
6^(1/3) * b^3 a^2
which simplifies to:
a^4 * a^2
-----------------------------------------------------
6^(1/3) * b^(1/3) * 6^(5/3) * b^4 * c^3
which simplifies to:
a^6
---------
6^(6/3) * b^(13/3) * c^3
a^6
-----------------
6^2 * b^(13/3) * c^3
a^6
----------------
36 * b^(13/3) * c^3