10.
[tex]a) \ 100^{3}:25^{3} = (100:25)^{3} = 4^{3} = 64\\\\b) \ (3\frac{1}{3})^{10}\cdot(\frac{3}{10})^{10} = (\frac{10}{3}\cdot\frac{3}{10})^{10} = 1^{10} = 1\\\\c) \ (-0,9)^{4}:9^{4} = (-0,9:9)^{4} = (-0,1)^{4} = 0,0001\\\\d) \ (-\frac{5}{16})^{3}:(\frac{1}{16})^{3} = (-\frac{5}{16}:\frac{1}{16})^{3} = (-\frac{5}{16}\cdot\frac{16}{1})^{3} = (-5)^{3} = -125[/tex]
