Вычислите: (5^4*0,2^-2)/125^2.

Ответ:

\[\frac{5^{4} \cdot {0,2}^{- 2}}{125^{2}} = \frac{5^{4} \cdot \left( \frac{1}{5} \right)^{- 2}}{\left( 5^{3} \right)^{2}} =\]

\[= \frac{5^{4} \cdot 5^{2}}{5^{6}} = \frac{5^{6}}{5^{6}} = 1.\]