Zjednoduš výraz \( \frac{\sqrt[12]{a^{5}} \cdot \sqrt[6]{b^{5}} \cdot \sqrt{b^{-1}}}{(\sqrt[4]{a})^{3} \cdot \sqrt[3]{b} \cdot \sqrt[3]{a^{2}}} \) pre \( a>0 a b>0 \).
\( =\frac{1}{a^2} \)
\( =\frac{1}{b} \)
\( =\frac{1}{a} \)
\( =a \)