Question 710080
Use the definition {{{matrix(2,1,"",B^(A/C)=root(C,B^A) )}}} 

{{{matrix(2,1,"",B^(A/C)=root(C,B^A) )}}}

{{{matrix(2,1,"",(6m)^(4/3)=root(3,(6m)^4) )}}}

Write the exponent 4 in terms of its nearest multiple of 3
less than 4, which is 3.  So we write the exponent 4 as 3+1

{{{matrix(2,1,"",(6m)^(4/3)=root(3,(6m)^(3+1)) )}}}

Then write (6m)<sup>3+1</sup> as (6m)<sup>3</sup>(6m)<sup>1</sup> 

{{{matrix(2,1,"",(6m)^(4/3)=root(3,(6m)^3(6m)^1) )}}}

You can take out the cube root of (6m)<sup>3</sup> as 6m in front of
the radical and you can erase the 1 exponent and the parentheses 
under the radical and end up with:

{{{matrix(2,1,"",(6m)^(4/3)=6m*root(3,6m) )}}}

Edwin</pre>