Correct. Rewrite with only positive exponents: $\displaystyle\frac{{{{\left({6}{{x}}^{{5}}{{y}}^{{3}}\right)}}^{{2}}}}{{{{\left({2}{{x}}^{{4}}{{y}}^{{2}}\right)}}^{{2}}}}\usepackage{cmbright}\Huge\$

Apply the exponents to the factors and use the power rule: $\displaystyle\frac{{{36}{{x}}^{{10}}{{y}}^{{6}}}}{{{4}{{x}}^{{8}}{{y}}^{{4}}}}\usepackage{cmbright}\Huge\$

Rewrite and use the quotient rule: $\displaystyle\frac{{36}}{{4}}\cdot\frac{{{x}}^{{10}}}{{{x}}^{{8}}}\cdot\frac{{{y}}^{{6}}}{{{y}}^{{4}}}={9}{{x}}^{{2}}{{y}}^{{2}}\usepackage{cmbright}\Huge\$

Evaluate the expression by replacing x and y with the values in the table.