Question

Помогите пожалуйста! решить задачу даю 22 баллов

Срочно!!!

Answer 1

Объяснение:

${9}^{ \frac{2}{3} } \div {9}^{ \frac{1}{6} } = {9}^{ \frac{2}{3} - \frac{1}{6} } = {9}^{ \frac{4 - 1}{6} } = {9}^{ \frac{3}{6} } = ({3}^{2} ) ^{ \frac{1}{2} } = 3$

${4}^{ \frac{1}{3} } \div {4}^{ \frac{5}{6} } = {4}^{ \frac{2 - 5}{6} } = {4}^{ - \frac{1}{2} } =( {2}^{2} ) ^{ - \frac{1}{2} } = {2}^{ - 1} = \frac{1}{2}$

${(7}^{ - 3} ) ^{ - \frac{2}{3} } = {7}^{2} = 49$

${(8}^{ \frac{1}{12} } ) ^{ - 4} = {8}^{ - \frac{1}{3} } = \frac{1}{ {8}^{ \frac{1}{3} } } = \frac{1}{ \sqrt[3]{8} } = \frac{1}{2}$

${3}^{ \frac{4}{3} } \times {3}^{ \frac{2}{3} } \times {3}^{ - 2} = {3}^{ \frac{6}{3} - 2 } = {3}^{0} = 1$

${5}^{ \frac{1}{16} } \times {5}^{ \frac{5}{16} } \times {5}^{ \frac{1}{4} } = {5}^{ \frac{1 + 5 + 4}{16} } = {5}^{ \frac{10}{16} } = {5 }^{ \frac{5}{8} }$

${150}^{ \frac{3}{2} } \div {6}^{ \frac{3}{2} } = {25}^{ \frac{3}{2} } = ({ {5}^{2} )}^{ \frac{3}{2} } = {5}^{3} = 125$

${961}^{ \frac{2}{3} } \div {31}^{ \frac{1}{3} } = ( {31}^{2} ) ^{ \frac{2}{3} } \div {31}^{ \frac{1}{3} } = {31}^{ \frac{4 - 1}{3} } = 31$

${8}^{ \frac{2}{7} } \div {8}^{ - \frac{7}{2} } = {8}^{ \frac{4 + 49}{14} } = {8}^{ \frac{53}{14} } = \sqrt[14]{ {8}^{53} }$

${12}^{ - \frac{31}{4} } \div {3}^{ \frac{4}{31} } \times {2}^{ \frac{2}{31} } =$

${25}^{ \frac{1}{3} } \times {5}^{ \frac{1}{3} } = {5}^{ \frac{2 + 1}{3} } = 5$

${343}^{ \frac{1}{2} } \div {7}^{ \frac{1}{2} } = {7}^{ \frac{3}{2} } \div {7}^{ \frac{1}{2} } = 7$