Вычислите (5^13*125^2)/25^9.

Ответ:

\[\frac{5^{13} \cdot 125^{2}}{25^{9}} = \frac{5^{13} \cdot \left( 5^{3} \right)^{2}}{\left( 5^{2} \right)^{9}} = \frac{5^{13} \cdot 5^{6}}{5^{18}} =\]

\[= \frac{5^{19}}{5^{18}} = 5\ \]