Apply the exponent 2 to each factor individually: $\displaystyle\frac{{{{\left(-{3}\right)}}^{{2}}{{\left({{r}}^{{6}}\right)}}^{{2}}{{\left({{s}}^{{3}}\right)}}^{{2}}}}{{{{\left({r}\right)}}^{{2}}}}\usepackage{cmbright}\Huge\$

Simplify and use the power rule: $\displaystyle\frac{{{9}{{r}}^{{{6}\cdot{2}}}{{s}}^{{{3}\cdot{2}}}}}{{{{r}}^{{{1}\cdot{2}}}}}=\frac{{{9}{{r}}^{{12}}{{s}}^{{6}}}}{{{{r}}^{{2}}}}\usepackage{cmbright}\Huge\$

Use the quotient rule: $\displaystyle{9}{{r}}^{{{12}-{2}}}{{s}}^{{6}}={9}{{r}}^{{10}}{{s}}^{{6}}\usepackage{cmbright}\Huge\$