Вычислите: [latex] \sqrt[8]{ 4^{5}* 7^{7} }* \sqrt[8]{ 4^{7} *7} [/latex][latex] \sqrt[4]{ 2^{5}* 5^{3} } * \sqrt[4]{ 2^{3}*5 } [/latex]

[latex]\sqrt[8]{4^5*7^7}* \sqrt[8]{4^7*7}= \sqrt[8]{4^5*7^7*4^7*7}=\sqrt[8]{4^{12}*7^8}=7\sqrt[8]{4^8*4^4}= \\ 7*4\sqrt[8]{4^4}=28 \sqrt[8]{(2^2)^4}= 28 \sqrt[8]{2^8}=28*2=56[/latex] [latex] \sqrt[4]{2^5*5^3} * \sqrt[4]{2^3*5}= \sqrt[4]{2^5*5^3*2^3*5}= \sqrt[4]{2^8*5^4}= \sqrt[4]{(2^2)^4*5^4}= \\ \sqrt[4]{4^4*5^4}=4*5=20[/latex]