Question

Resolva a expressão:
$( \frac{2}{3})^{ - 2}.( \frac{2}{3})^{3} .4 ^{ - 2} . {4}^{5}$
Preciso do passo-a-passo​

Answer 1

$(\frac{3}{2}) ^{2}$ . $\frac{2.2.2}{3.3.3}$ . $(\frac{1}{4}) ^{2}$ . 4.4.4.4.4 =

$\frac{3.3}{2.2}$ . $\frac{8}{27}$ . $\frac{1.1}{4.4}$ . 1024 =

$\frac{9}{4}$ . $\frac{8}{27}$ . $\frac{1}{16}$ . 1024 =

$\frac{9.8.1024}{4.27.16}$ =

$\frac{2.64}{3}$ =

$\frac{128}{3}$

Bons estudos!