You correctly found the cube root of 512, but you made a mistake finding the cube root of $\displaystyle{{p}}^{{12}}\usepackage{cmbright}\Huge\$ . Factor and rewrite $\displaystyle{{p}}^{{12}}\usepackage{cmbright}\Huge\$ with an exponent of 3. Simplify using $\displaystyle{\sqrt[{{3}}]{{{{x}}^{{3}}}}}={x}\usepackage{cmbright}\Huge\$ . The correct answer is $\displaystyle{8}{{p}}^{{4}}\usepackage{cmbright}\Huge\$ .