Question 695928
{{{ (w+1)^(3/2) = 64 }}}


Square both sides:
{{{ (w+1)^3 = 64*64 }}}
{{{ (w+1)^3 = 4096 }}}


Take cube roots:
{{{ w+1 = 4096^(1/3) }}}
{{{ w+1 = 4096^(1/3) }}}
{{{ w+1 = 16) }}}
{{{ w = 15) }}}