[latex]( ( 0,5)^{ \sqrt{2} } ) ^{ \sqrt{8} } [/latex][latex](5 ^{1+ \sqrt{2} } )^{1- \sqrt{2} }[/latex][latex]3 ^{2 \sqrt{2} } : 9 ^{ \sqrt{2}} [/latex][latex]2 ^{2-3 \sqrt{5} } * 8 ^{\sqrt{5} } [/latex][latex](5 ^{2- \sqrt{5} ...

[latex]1)\;\;((0,5)^{\sqrt2})^{\sqrt8}=(0,5)^{\sqrt{2\cdot 8}}=(0,5)^4=0,0625\\2)\;\;(5^{1+\sqrt2})^{1-\sqrt2}=5^{1-2}=5^{-1}=\frac{1}{5}=0,2\\3)\;\;3^{2\sqrt2}:9^{\sqrt2}=3^{2\sqrt2}:3^{2\sqrt2}=1\\4)\;\;2^{2-3\sqrt5}\cdot 8^{\sqrt5}=2^{2-3\sqrt5}\cdot 2^{3\sqrt5}=2^{2-3\sqrt5+3\sqrt5}=2^2=4\\5)\;\;(5^{2-\sqrt5})^{2+\sqrt5}-(\sqrt5)^0=5^{4-5}-1=5^{-1}-1=\frac{1}{5}-1=-\frac{4}{5}=-0,8[/latex]