12) $\frac{25\cdot\left(\frac{1}{5}\right)^{-2}}{625\cdot5^{-3}}$

Question

$Фото задания: 12) $\frac{25\cdot\left(\frac{1}{5}\right)^{-2}}{625\cdot5^{-3}}$$ Фото задания

Accepted Answer

\[\left(\frac{1}{5}\right)^{-2}=5^2=25,\qquad 5^{-3}=\frac{1}{125}.\]

\[\frac{25\cdot25}{625\cdot\frac{1}{125}}=\frac{625}{5}=125.\]

Ответ: $125$

12) \(\frac{25\cdot\left(\frac{1}{5}\right)^{-2}}{625\cdot5^{-3}}\)