g)
(4^{\frac{1}{4}}+25^{\frac{1}{2}})(5^{-1}-(\frac{1}{2^{-\frac{1}{3}}})^{\frac{3}{2}}=[(2^2)^{\frac{1}{4}}+(5^2)^{\frac{1}{2}}][5^{-1}-(2^{\frac{1}{3}})^{\frac{3}{2}}]=
(2^{\frac{1}{2}}+5)(\frac{1}{5}-2^{\frac{1}{2}})=(\sqrt2+5)(\frac{1}{5}-\sqrt2)=\frac{\sqrt2}{5}-2+1-5\sqrt2=
-1+\frac{\sqrt2}{5}-\frac{25\sqrt2}{5}=-1-\frac{24\sqrt2}{5}
h)
(\sqrt {a^3})^{\frac{3}{2}}-(\sqrt[4]{a^3})^3+(\frac{1}{a})^{-3}=
a^{\frac{3}{2}*\frac{3}{2}}-a^{\frac{3}{4}*3}+a^3=a^{\frac{9}{4}}-a^{\frac{9}{4}}+a^3=a^3