Question

PF ME AJUDEM to precisando mt

Answer 1

$a)~~1- \left(\dfrac{2}{3} \right)^2\to ~~1- \dfrac{4}{9} \to ~~ \dfrac{9-4}{9} \to ~~ \large\boxed{ \frac{5}{9} }\\\\\\\\\\ b)~~ \left(\dfrac{2}{7}\times \dfrac{7}{10} \right)^2\to ~~\left(\dfrac{14}{70} \right)^2\to ~~ \dfrac{196}{4900} \to~~ \large\boxed{ \frac{1}{25} }$




$c)~~\left[ \left(\dfrac{3}{5} \right)^2\times \dfrac{50}{27} \right]^2\to ~~\left[ \dfrac{9}{25} \times \dfrac{50}{27} \right]^2\to ~~\left[ \dfrac{450}{675} \right]^2\to ~~ \dfrac{202500}{455625} \to~~ \large\boxed{ \frac{4}{9} }$




$d)~~ \left(1+\dfrac{2}{3} \right)^2-\left(1-\dfrac{2}{3} \right)^2\to ~~ \left(\dfrac{3+2}{3} \right)^2-\left(\dfrac{3-2}{3} \right)^2\to ~~ \\\\\\ \left(\dfrac{5}{3} \right)^2-\left(\dfrac{1}{3} \right)^2\to ~~ \dfrac{25}{9} - \dfrac{1}{9} \to ~~ \dfrac{25-1}{9} \to ~~ \large\boxed{ \frac{24}{9} }$