Correct. Apply the exponent 3 to each factor individually: $\displaystyle\frac{{{{5}}^{{3}}{{\left({{g}}^{{8}}\right)}}^{{3}}{{\left({{h}}^{{4}}\right)}}^{{3}}}}{{{{\left({{f}}^{{3}}\right)}}^{{3}}{{g}}^{{3}}}}\usepackage{cmbright}\Huge\$

Calculate $\displaystyle{{5}}^{{3}}\usepackage{cmbright}\Huge\$ and use the power rule: $\displaystyle\frac{{{125}{{g}}^{{{8}\cdot{3}}}{{h}}^{{{4}\cdot{3}}}}}{{{{f}}^{{{3}\cdot{3}}}{{g}}^{{3}}}}=\frac{{{125}{{g}}^{{24}}{{h}}^{{12}}}}{{{{f}}^{{9}}{{g}}^{{3}}}}\usepackage{cmbright}\Huge\$

Use the quotient rule: $\displaystyle\frac{{{125}{{g}}^{{{\left({24}-{3}\right)}}}{{h}}^{{{12}}}}}{{{f}}^{{9}}}=\frac{{{125}{{g}}^{{21}}{{h}}^{{12}}}}{{{f}}^{{9}}}\usepackage{cmbright}\Huge\$