Correct. Apply the exponent 6 to each factor individually: $\displaystyle\frac{{{{\left({{x}}^{{5}}\right)}}^{{6}}{{\left({{y}}^{{8}}\right)}}^{{6}}}}{{{{\left({2}\right)}}^{{6}}{{\left({{z}}^{{3}}\right)}}^{{6}}}}\usepackage{cmbright}\Huge\$

Simplify, using the Power Rule: $\displaystyle\frac{{{{x}}^{{{5}\cdot{6}}}{{y}}^{{{8}\cdot{6}}}}}{{{64}{{z}}^{{{3}\cdot{6}}}}}=\frac{{{{x}}^{{30}}{{y}}^{{48}}}}{{{64}{{z}}^{{18}}}}\usepackage{cmbright}\Huge\$