1 11. хуб при х = 2 и у = 3. 4

11. $$ \sqrt[4]{\frac{1}{x^4 y^6}} $$ при $$x = 2$$ и $$y = 3$$.

$$ \sqrt[4]{\frac{1}{x^4 y^6}} = \sqrt[4]{\frac{1}{x^4 y^4 y^2}} = \frac{1}{\sqrt[4]{x^4} \cdot \sqrt[4]{y^4} \cdot \sqrt[4]{y^2}} = \frac{1}{|x| \cdot |y| \cdot \sqrt{\sqrt{y^2}}} = \frac{1}{|x| \cdot |y| \cdot \sqrt{|y|}} $$

$$ x = 2, y = 3 $$

$$ \frac{1}{|2| \cdot |3| \cdot \sqrt{|3|}} = \frac{1}{2 \cdot 3 \cdot \sqrt{3}} = \frac{1}{6 \sqrt{3}} = \frac{\sqrt{3}}{6 \cdot 3} = \frac{\sqrt{3}}{18} $$

Ответ: $$ \frac{\sqrt{3}}{18} $$