Найдите значение выражения (√a^5 )^3 ⋅ (√b^3 )^5 / (√a^3 ⋅ b^3 )^3 при a = 5 - 3√2,

\( \frac{(\sqrt{a^5})^3 \cdot (\sqrt{b^3})^5}{(\sqrt{a^3} \cdot b^3)^3} = \frac{(a^{5/2})^3 \cdot (b^{3/2})^5}{(a^{3/2} \cdot b^3)^3} = \frac{a^{15/2} \cdot b^{15/2}}{a^{9/2} \cdot b^9} = a^{(15/2 - 9/2)} \cdot b^{(15/2 - 9)} = a^{6/2} \cdot b^{(15/2 - 18/2)} = a^3 \cdot b^{-3/2} = \frac{a^3}{b^{3/2}} = \frac{a^3}{(\sqrt{b})^3} = \frac{a^3}{b\sqrt{b}} \)