Correct. Use the laws of exponents to rewrite the expression: $\displaystyle{{243}}^{{\frac{{2}}{{5}}}}{{\left({{a}}^{{\frac{{5}}{{2}}}}\right)}}^{{\frac{{2}}{{5}}}}\usepackage{cmbright}\Huge\$

Factor 243 and rewrite as $\displaystyle{{3}}^{{5}}\usepackage{cmbright}\Huge\$ : $\displaystyle{{\left({{3}}^{{5}}\right)}}^{{\frac{{2}}{{5}}}}{{\left({{a}}^{{\frac{{5}}{{2}}}}\right)}}^{{\frac{{2}}{{5}}}}={{3}}^{{2}}{{a}}^{{1}}={9}{a}\usepackage{cmbright}\Huge\$