## College Algebra 7th Edition

$x=\pm 216$
$6x^{2/3}-216=0$ We add 216: $6x^{2/3}=216$ And divide by 6: $x^{2/3}=36$ And solve for $x$, paying attention to the possible signs of the solution: $(x^{2/3})^{3/2}=[36]^{3/2}=[(\pm 6)^{2}]^{3/2}$ $x=(\pm 6)^{3}=\pm 216$