a)
2^{-1}+3^{-1}=\frac{1}{2}+\frac{1}{3}=\frac{3}{6}+\frac{2}{6}=\frac{5}{6}
c)
(\frac{1}{2})^{-1}+(\frac{1}{2})^{-2}+(\frac{1}{2})^{-3}=(\frac{1}{2})^{-6}=2^6=64
d)
3^{-3}+(\frac{1}{3})^{-2}+4^{-3}:(\frac{1}{2})^3=(\frac{1}{3})^3+3^2+(\frac{1}{4})^3:\frac{1}{8}=\frac{1}{27}+9+\frac{1}{64}*\frac{8}{1}=9\frac{8}{216}+\frac{27}{216}=9\frac{35}{216}
e)
5^2+(-\frac{1}{3})^4-2^5+(0,1)^{-2}=25+\frac{1}{81}-32+10^2=-6\frac{80}{81}+100=93\frac{1}{81}
f)
4^4*4^{-2}+6^5*6^{-3}-8^{-2}:(-\frac{1}{2})^2=4^2+6^2-\frac{1}{8^2}:(-2)^2=16+36-\frac{1}{64}:\frac{1}{4}=52-\frac{1}{64}*\frac{4}{1}=52-\frac{1}{16}=51\frac{15}{16}