Question 367310
{{{ x^(2/3)-2x^(1/3)-8=0 }}}
Let {{{1/3 = z}}}
{{{ x^(2z)-2x^z-8=0 }}}
{{{x^(2z) - 2x^z + 1 = 8 + 1}}}
{{{(x^z - 1)^2 = 9}}}
{{{x^z - 1 = 3}}}
{{{x^z = 4}}}
Take the zth root of both sides
{{{x = 4^(1/z)}}}
Since {{{z = 1/3}}},
{{{x = 4^3}}}
{{{x = 64}}}