[tex]\sqrt{z^{16}}\implies \sqrt{z^{8\cdot 2}}\implies \sqrt{(z^8)^2}\implies \boxed{z^8} \\\\\\ \sqrt{y^{14}}\implies \sqrt{y^{7\cdot 2}}\implies \sqrt{(y^7)^2}\implies \boxed{y^7}[/tex]