Incorrect. Use the rules of exponents to rewrite the expression:

$\displaystyle{{\left({4}{{c}}^{{2}}\right)}}^{{\frac{{1}}{{2}}}}={{4}}^{{\frac{{1}}{{2}}}}\cdot{{c}}^{{\frac{{2}}{{2}}}}\usepackage{cmbright}\Huge\$

Rewrite 4 as $\displaystyle{{2}}^{{2}}\usepackage{cmbright}\Huge\$ . Multiply powers and simplify exponents.