Correct. Apply the exponent 2 to each factor: $\displaystyle\frac{{{{5}}^{{4}}{{y}}^{{6}}}}{{{{w}}^{{4}}}}\usepackage{cmbright}\Huge\$

Substitute the given values of w and y: $\displaystyle\frac{{{{5}}^{{4}}\cdot{{2}}^{{6}}}}{{{10}}^{{4}}}\usepackage{cmbright}\Huge\$

Calculate and simplify: $\displaystyle\frac{{{625}\cdot{64}}}{{{10},{000}}}=\frac{{{40},{000}}}{{{10},{000}}}={4}\usepackage{cmbright}\Huge\$