Question

Помогите пожалуйста! решить задачу даю 22 баллов

Срочно!!!

Answer 1

Объяснение:

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

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

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

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

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

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

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

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

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

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

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

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