$\text{a)}4\sqrt{16}-2\sqrt[4]{625}+3\sqrt[3]{27}=4\cdot 4-2\cdot 5+3\cdot 3=16-10+9=6+9=15$  

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$\text{b)}5\sqrt[7]{1}-3\sqrt[3]{64}+2\sqrt{121}=5\cdot 1-3\cdot 4+2\cdot 11=5-12+22=5+10=15$  

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$\text{c)}\frac{3\sqrt[3]{343}+2\sqrt[7]{-128}}{4\sqrt[6]{729}+5\sqrt{64}}=\frac{3\cdot 7+2\cdot \left(-2\right)}{4\cdot 3+5\cdot 8}=\frac{21-4}{12+40}=\frac{17}{52}$  

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$\text{d)}\frac{\sqrt[4]{0,0016}+\sqrt[6]{1}}{\sqrt[4]{0,0625}-\sqrt[3]{0,027}}=\frac{0,2+1}{0,5-0,3}=\frac{1,2}{0,2}=6$