Question

solve this question plzz

Answer 1

Hey friend, ☺️ here is your answer ____________________________
${27}^{ \frac{ - 2}{3} } \div {9}^{ \frac{1}{2} }. {3}^{ \frac{ - 3}{2} } \\ = {( {3}^{3}) }^{ \frac{ - 2}{3} } \div {( {3}^{2} )}^{ \frac{1}{2} }. {3}^{ \frac{ - 3}{2} } \\ = {3}^{ - 2} \div 3. {3}^{ \frac{ - 3}{2} } \\ = {3}^{ - 2} \div {9}^{ \frac{ - 3}{2} } \\ = {3}^{ - 2} \div { ({3}^{2}) }^{ \frac{ - 3}{2} } \\ = {3}^{ - 2} \div {3}^{ - 3} \\ = {3}^{( - 2) - ( - 3)} \\ = {3}^{ - 2 + 3} \\ = {3}^{1} \\ = 3$
Hope this helps you...