Question 34807
{{{ (x+4)^(-1/3) = 4 }}}


First, get rid of the negative power:
{{{ 1/(x+4)^(1/3) = 4 }}}


Now raise everything to cube, to remove the (1/3) power (which means a cube root). Also remember that {{{1^3}}} is just 1 still:
{{{ (1/(x+4)^(1/3))^3 = 4^3 }}}
{{{ 1/(x+4) = 4^3 }}}
{{{ 1/(x+4) = 64 }}}
{{{ 1 = 64(x+4) }}}
{{{ 1 = 64x+256 }}}
{{{ -255 = 64x }}}
{{{ -255/64 = x }}}


jon.