Incorrect. To simplify this expression, simplify each expression and then multiply them: $\displaystyle{{\left({{a}}^{{-{{3}}}}{b}{{c}}^{{4}}\right)}}^{{-{{4}}}}\cdot{{\left({{a}}^{{2}}{{b}}^{{8}}{{c}}^{{-{{3}}}}\right)}}^{{2}}\usepackage{cmbright}\Huge\$ = $\displaystyle{{a}}^{{-{3}{\left(-{4}\right)}}}{{b}}^{{{1}{\left(-{4}\right)}}}{{c}}^{{{4}{\left(-{4}\right)}}}{{a}}^{{{2}{\left({2}\right)}}}{{b}}^{{{8}{\left({2}\right)}}}{{c}}^{{-{3}{\left({2}\right)}}}\usepackage{cmbright}\Huge\$ . What does this simplify to? Remember to use the exponent rules: $\displaystyle{{\left({{x}}^{{n}}\right)}}^{{m}}={{x}}^{{{n}{m}}}\usepackage{cmbright}\Huge\$ and $\displaystyle{{x}}^{{n}}{{x}}^{{m}}={{x}}^{{{n}+{m}}}\usepackage{cmbright}\Huge\$ .