a)
(1\frac{1}{5})^5*(1\frac{2}{3})^5=(\frac{\not6^2}{\not5^1}*\frac{\not5^1}{\not3^1})^5=2^5=32
(1\frac{4}{5})^4:(0,6)^4=(1,8:0,6)^4=3^4=81
(18\sqrt5)^2:(6\sqrt5)^2=(\frac{18\sqrt5}{6\sqrt5})^2=3^2=9
b)
2^{-3}=(\frac{1}{2})^3=\frac{1}{8}
(\frac{2}{5})^{-2}=(\frac{5}{2})^2=\frac{25}{4}=6\frac{1}{4}
(0,2)^{-3}=(\frac{2}{10})^{-3}=(\frac{1}{5})^{-3}=5^3=125
(4\frac{1}{5})^{-1}=(\frac{21}{5})^{-1}=\frac{5}{21}
c)
4^{-2}*(\frac{1}{16})^{-2}=(\not4^1*\frac{1}{\not{16}^4})^{-2}=(\frac{1}{4})^{-2}=4^2=16
(1\frac{1}{6})^{-3}*(\frac{3}{7})^{-3}=(\frac{\not7^1}{\not6^2}*\frac{\not3^1}{\not7^1})^{-3}=(\frac{1}{2})^{-3}=2^3=8