Zadanie 2
Liczba \frac{25^{\frac{1}{2}}\cdot (\frac{1}{5})^{-2}}{\sqrt[3]{-\frac{1}{125}}\cdot 5^{-4}} jest równa.
{\frac{25^{\frac{1}{2}}\cdot (\frac{1}{5})^{-2}}{\sqrt[3]{-\frac{1}{125}}}\cdot 5^{-4}=\frac{\sqrt{25}\cdot 5^2\cdot 5^{-4}}{\sqrt[3]{(-\frac{1}{5})^3}}=\frac{5\cdot 5^{2-4}}{-\frac{1}{5}}=\frac{5^{1-2}}{-\frac{1}{5}}=5^{-1}\cdot (-\frac{5}{1})=\frac{1}{5}\cdot (-\frac{5}{1})=-1}