Question

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

Answer 1

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

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

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