Вычислите: (25^2*5^5)/5^7.

Ответ:

\[\frac{25^{2} \cdot 5^{5}}{5^{7}} = \frac{\left( 5^{2} \right)^{2} \cdot 5^{5}}{5^{7}} = \frac{5^{4} \cdot 5^{5}}{5^{7}} = \frac{5^{9}}{5^{7}} =\]

\[= 5^{9 - 7} = 5² = 25.\]