The only things I can make out of this is Root Order 3 and 33 of Root Order 642 and 348.

Perhaps this could help with solving this equation, if it is what I think he is asking.
Or perhaps it is simplier and it is just a matter of
$${{\mathtt{33}}}^{\left({\frac{{\mathtt{1}}}{{\mathtt{3}}}}\right)} = {\mathtt{3.207\: \!534\: \!329\: \!995\: \!826}}$$
and
$${{\mathtt{348}}}^{\left({\frac{{\mathtt{1}}}{{\mathtt{642}}}}\right)} = {\mathtt{1.009\: \!157\: \!253\: \!617\: \!218\: \!9}}$$
.