Question 559494
{{{8^(5/3)}}} = {{{root(3,8^5)}}} = {{{root(3,(2^3)^5)}}} = {{{root(3,2^(3*5))}}} = {{{root(3,2^15)}}} = {{{(2^15)^(1/3)}}} = {{{2^(15*(1/3))}}} = {{{2^3}}} = 32
Some of the too-tall exponents are not wholly visible, but I included plenty of equivalent expressions to help you figure them out.