Question

Calcule o valor número das expressões:

(1/4)² . 4/5 + 2/5 : (2/3)³

Answer 1

Oie, Td Bom?!

$= ( \frac{1}{4 } ) {}^{2} \: . \: \frac{4}{5} + \frac{2}{5} \div ( \frac{2}{3} ) {}^{3}$

$= \frac{1}{16} \: . \: \frac{4}{5} + \frac{2}{5} \div \frac{8}{27}$

$= \frac{1}{4} \: . \: \frac{1}{5} + \frac{2}{5} \div \frac{8}{27}$

$= \frac{1}{4} \: . \: \frac{1}{5} + \frac{2}{5} \: . \: \frac{27}{8}$

$= \frac{1}{4} \: . \: \frac{1}{5} + \frac{1}{5} \: . \: \frac{27}{4}$

$= \frac{1}{20} + \frac{1}{5} \: . \: \frac{27}{4}$

$= \frac{1}{20} + \frac{27}{20}$

$= \frac{1 + 27}{20}$

$= \frac{28}{20}$

$= \frac{28 {}^{ \div 4} }{20 {}^{ \div 4} }$

$\boxed{ = \frac{7}{5} }$

Att. Makaveli1996

Answer 2

Olá, siga a explicação:

Veja:

$\left ( \dfrac{1}{4} \right ) ^2 \centerdot \dfrac{4}{5} + \dfrac{2}{5} : \left ( \dfrac{2}{3} \right ) ^{3} \\ \\ \\ \dfrac{1}{16} \centerdot \dfrac{4}{5} + \dfrac{2}{5} : \dfrac{8}{27} = \dfrac{4}{80} + \dfrac{54}{40} = \dfrac{4+108}{80} = \dfrac{112}{80} = \dfrac{56}{40} = \dfrac{28}{20} = \dfrac{14}{10} = \boxed {\dfrac{7}{5} }$

• Att. MatiasHP