Question

Вычислите:
$-sqrt[2]{0,25}- sqrt[4]{5 frac{1}{16} } [tex] sqrt[6]{ 3^{7} 4^{5} } * sqrt[6]{ 3^{5}4 }$

Answer 1

$1) -sqrt{0.25}-sqrt[4]{5frac{1}{16}}=-sqrt{0.5^2}-sqrt[4]{frac{81}{16}}=-0.5-sqrt[4]{frac{9^2}{4^2}}=\\=-0.5-frac{sqrt[4]{3^4}}{sqrt[4]{2^4}}=-0.5-frac{3}{2}=-0.5-1.5=-2;\\2) sqrt[6]{3^7bullet4^5}bulletsqrt[6]{3^54}=sqrt[6]{3^7bullet3^5bullet4^5bullet4}=sqrt[6]{3^{12}4^6}=3^2bullet4=9bullet4=36.$