Question

Дам 13 баллов, прошу! Не срочно, но важно!
$1. (1 \frac{1}{2} ){2} =\\\\2. - (-0,5){3} =\\3. 6^{3} - (-8)^{2} =\\4. (6:\frac{2}{3})^{3} =$

Answer 1

$(1\frac{1}{2})^2=(\frac{3}{2})^2=\frac{3^2}{2^2}=\frac{9}{4}=2\frac{1}{4}\\\\\\-(-0,5)^3=-\Big ((-1)\cdot 0,5\Big )^3=-\Big ((-1)^3\cdot (0,5)^3\Big )=-\Big (-1\cdot 0,125\Big )=0,125\\\\\\6^3-(-8)^2=216 -\Big ((-1)\cdot 8\Big )^2=216-\Big ((-1)^2\cdot 8^2\Big )=\\\\=216-\Big (+1\cdot 64\Big )=216-64=152\\\\\\ (6:\frac{2}{3})^3=(6\cdot \frac{3}{2})^3=9^3=(3^2)^3=3^6=729$