Oblicz :  A ) [latex] (-2 sqrt{3} )^{-3} = [/latex]  B ) [latex]( frac{3}{ sqrt{2} }) ^{-4} [/latex] C ) [latex]( - frac{ sqrt{5} }{10} ) ^{-3} [/latex] D) [latex](( -3 sqrt{2} ^{ -1} ) ^{-2}[/latex]

[latex] a) (-2sqrt{3})^{-3} = frac{1}{(-2sqrt{3})^3}=frac{1}{-8cdot 3cdot sqrt{3}}=frac{1}{-24sqrt{3}} \ b) (frac{3}{sqrt{2}})^{-4}=(frac{sqrt{2}}{3})^{4}=frac{4}{81} \[/latex] [latex] c)(frac{-sqrt{5}}{10})^{-3}=(-frac{10}{sqrt{5}})^3=- frac{1000}{25sqrt{5}}=-frac{40}{sqrt{5}}\=-8sqrt{5} \ d) ((-3sqrt{2})^{-1})^{-2}=(-3sqrt{2})^{-1cdot (-2)}=(-3sqrt{2})^2=9cdot 2=18 [/latex]