Incorrect. The expression equals $\displaystyle\frac{{{\left({{5}}^{{2}}\right)}}^{{4}}}{{{5}\cdot{{5}}^{{5}}}}\usepackage{cmbright}\Huge\$ . Use the power rule to simplify the numerator and the product rule to simplify the denominator. Then use the quotient rule. Finally, calculate the value of the simplified expression. The correct answer is 25.