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Решите задачу:

$3\cdot \sqrt[4]{125}\cdot \sqrt[12]{125}=3\cdot \sqrt[12]{(5^3)^3}\cdot \sqrt[12]{5^3}=3\cdot \sqrt[12]{5^{12}}=3\cdot 5=15\\\\8\cdot \sqrt[3]{49}\cdot \sqrt[6]{49}=8\cdot \sqrt[6]{(7^2)^2\cdot 7^2}=\sqrt[6]{7^6}=8\cdot 7=56\\\\\frac{\sqrt[4]{15}\; \sqrt[4]{27}}{\sqrt[4]{5}}=\frac{\sqrt[4]{3\cdot 5\cdot 3^3}}{\sqrt[4]5}=\frac{\sqrt[4]{3^4\cdot 5}}{\sqrt[4]5}=\frac{3\sqrt[4]5}{\sqrt[4]5}=3\\\\\frac{\sqrt[4]{9}\; \sqrt[4]{36} }{\sqrt[4]{4}}=\frac{\sqrt[4]{3^2\cdot (3^2\cdot 2^2)}}{\sqrt[4]{2^2}}=\frac{3\sqrt[4]{2^2}}{\sqrt[4]{2^2}}=3$

$8^{0,24}\cdot 16^{0,32}=(2^3)^{\frac{6}{25}}\cdot (2^4)^{\frac{8}{25}}=2^{\frac{18}{25}}\cdot 2^{\frac{32}{25}}=2^{\frac{50}{25}}=2^2=4\\\\2^{0,39}\cdot 8^{0,87}=2^{0,39}\cdot (2^3)^{0,87}=2^{0,39+2,61}=2^3=8\\\\\frac{(2^{\frac{3}{5}}\cdot 5^{\frac{2}{3}})^{15}}{10^9}=\frac{2^9\cdot 5^{10}}{2^9\cdot 5^9}=5\\\\\frac{(7^{\frac{3}{5}}\cdot 4^{\frac{2}{3}})^{15}}{28^9}=\frac{7^{9}\cdot 4^{10}}{7^9\cdot 4^9}=4$

$\frac{2^{3,5}\cdot 3^{5,5}}{6^{4,5}}=\frac{2^{3,5}\cdot 3^{5,5}}{2^{4,5}\cdot 3^{4,5}}=\frac{3}{2}=1,5\\\\\frac{2^{2,2}\cdot 3^{5,2}}{6^{4,2}}=\frac{2^{2,2}\cdot 3^{5,2}}{2^{4,2}\cdot 3^{4,2}}=\frac{3}{2^2}=0,75$