Answer 1

$1)\; 8^{\frac{1}{4}+3log_{16}32}=8^{\frac{1}{4}}\cdot 8^{3log_{16}32}=A\\\\a)\; 3log_{16}32=3log_{16}(16\cdot 2)=3(log_{16}16+log_{16}2)=\\\\=3(1+log_{2^4}2)=3(1+\frac{1}{4}}log_22)=3(1+\frac{1}{4})=3\cdot \frac{5}{4}=\frac{15}{4}\\\\A=8^{\frac{1}{4}}\cdot 8^{\frac{15}{4}}=8^{\frac{16}{4}}=8^4\\\\2)\; \frac{20^{log_25}}{10^{log_25}}=(\frac{20}{10})^{log_25}=2^{log_25}=5$

Answer 2

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