1.
[tex](-1\frac{2}{3})^{2} = (-\frac{5}{3})^{2} = \frac{25}{9} = \boxed{2\frac{7}{9}}\\\\\underline{Odp. \ D.}[/tex]
2.
[tex]A. \ 8^{2} = 64, \ \ \ |64| = 64\\\\B. \ (-2)^{5 } = -32, \ \ \ |-32|=32\\\\C. \ 10^{-3} = \frac{1}{1000|}, \ \ \ |\frac{1}{1000}| = \frac{1}{1000}\\\\D. \ (\frac{1}{3})^{3} = \frac{1}{27}, \ \ \ |\frac{1}{27}| = \frac{1}{27}\\\\\frac{1}{1000} < \frac{1}{27} < 32 < 64\\\\\boxed{Odp. \ C}[/tex]
3.
[tex]\frac{5^{10}}{5^{5}\cdot5}=\frac{5^{10}}{5^{4+1}} =\frac{5^{10}}{5^{5}}=5^{10-5}= \boxed{5^{5}}\\\\\underline{Odp. \ B}[/tex]
4.
[tex]25\cdot125^{4} = 5^{2}\cdot(5^{3})^{4} = 5^{2}\cdot5^{12} =\boxed{ 5^{14}}\\\\\underline{Odp. \ C.}[/tex]