Question

Me ajudem pra hj pfv imploro

Efetue uma das expressões numéricas seguintes, e se possível represente com uma fração irredutível

a) (3/5) ^2 . 7/10 =

b) (8/3) ^2 + (11/9) ^2

Me ajudem pfv

Answer 1

Explicação passo-a-passo:

a)

$\sf \Big(\dfrac{3}{5}\Big)^2\cdot\dfrac{7}{10}$

$\sf =\dfrac{3}{5}\cdot\dfrac{3}{5}\cdot\dfrac{7}{10}$

$\sf =\dfrac{3\cdot3\cdot7}{5\cdot5\cdot10}$

$\sf =\dfrac{9\cdot7}{25\cdot10}$

$\sf =\large\red{\dfrac{63}{250}}$

b)

$\sf \Big(\dfrac{8}{3}\Big)^2+\Big(\dfrac{11}{9}\Big)^2$

$\sf =\dfrac{8}{3}\cdot\dfrac{8}{3}+\dfrac{11}{9}\cdot\dfrac{11}{9}$

$\sf =\dfrac{64}{9}+\dfrac{121}{81}~~~~~~~~~~mmc(9,81)=81$

$\sf =\dfrac{64\cdot9+121\cdot1}{81}$

$\sf =\dfrac{576+121}{81}$

$\sf =\large\red{\dfrac{697}{81}}$