Question

find the value of (\frac{2}{3})^{2} divided by (\frac{4}{5} )^{3} multiplied by (\frac{3}{5})^{2}[/tex]

Answer 1

Step-by-step explanation:

$\tt \red {\bull \leadsto \qquad{ \dfrac{ \bigg( \frac{2}{3} \bigg) {}^{2} }{\bigg( \frac{4}{5} \bigg) {}^{3} } \times \bigg(\dfrac{3}{5} \bigg) {}^{2} }}$

$\tt \pink{ \bull {\qquad{\dfrac{\bigg( \dfrac{4}{9} \bigg)}{\bigg(\dfrac{64}{125}\bigg) } \times \bigg(\dfrac{9}{25}\bigg) } }}$

$\tt \blue{ \bull \qquad{\bigg( \dfrac{ \cancel{4}} {\cancel{9}} \times \dfrac {\cancel{125} {}^{ {}^{5} } } {\cancel{64}} _{ _{16} } \bigg) \times \bigg( \dfrac {\cancel{ 9 }} {\cancel{25}} \bigg)}}$

$\boxed{\boxed{ \tt \purple {\bull \quad \dfrac{5}{16} }}}$