Question 594103
<pre>
{{{root(4, x^3y^5z^8)}}}

Rules for {{{root(N,B^M*"(OTHER_FACTORS_IF_ANY)")}}}

1. If M is less than N, then leave it as it is.

2. If M can be divided evenly by N, then it equals 
{{{matrix(2,1,"",B^(M/N))*""}}}{{{root(N,"(OTHER_FACTORS_IF_ANY)")}}}

3. If M is greater than N, then do this division
where Q is the quotient and R is the remainder 

      <u> Q</u>
     N)M
       <u>...</u>
        R  

Then it equals:

{{{B^Q*""}}}{{{root(N,B^R*"(OTHER_FACTORS_IF_ANY)")}}}

{{{root(4, x^3y^5z^8)}}}

For the x³, since 3 is less than 4, we use rule 1 and do nothing 

For they y<sup>5</sup>, since 5 is greater than 4, we use rule 3
and do this division:
        
      <u> 1 </u>
     4)5
       <u>4</u>
       1

and write:

{{{y^1*root(4, x^3y^1z^8)}}} and dispose of the 1 exponents:

{{{y*root(4, x^3yz^8)}}}
     
For the z<sup>8</sup>, since 8 can be divided evenly by 4, we
use rule 2 and we end up with

{{{yz^2*root(4, x^3y)}}}

Edwin</pre>