Question

помогите быстрее даю 35 баллов срочно!!!!!!!!!!!!!

Answer 1

$1)\8^{frac{1}{3}}*9^{-1.5}=sqrt[3]{8}*frac{1}{9^{1.5}}=sqrt[3]{2^{3}}*frac{1}{sqrt[2]{9^{3}}}=2*frac{1}{3^{3}}=frac{2}{27}$

$2)\150^{frac{3}{2}}/6^{frac{3}{2}}=frac{150^{frac{3}{2}}}{6^{frac{3}{2}}} =(frac{150}{6})^{frac{3}{2}}=25^{frac{3}{2}}=sqrt[2]{25^{3}}=(sqrt{25})^{3}=5^{3}=125$

$3^{2sqrt{2}}/9^{sqrt{2}}=frac{3^{2sqrt{2}}}{(3^{2})^{sqrt{2}}}=frac{3^{2sqrt{2}}}{3^{2sqrt{2}}}=1$