Resolver (2-2/3)*(2/3+2)^2

$$( 2 - \frac { 2 } { 3 } ) \times ( \frac { 2 } { 3 } + 2 ) ^ { 2 }$$

Avaliar

$$\frac{256}{27}\approx 9,481481481$$

Passos Para a Resolução

Subtraia \frac{2}{3} de 2 para obter \frac{4}{3}.

$$\frac{4}{3}\left(\frac{2}{3}+2\right)^{2}$$

Some \frac{2}{3} e 2 para obter \frac{8}{3}.

$$\frac{4}{3}\times \left(\frac{8}{3}\right)^{2}$$

Calcule \frac{8}{3} elevado a 2 e obtenha \frac{64}{9}.

$$\frac{4}{3}\times \frac{64}{9}$$

Multiplique \frac{4}{3} e \frac{64}{9} para obter \frac{256}{27}.

$$\frac{256}{27}$$

Fatorizar

$$\frac{2 ^ {8}}{3 ^ {3}} = 9\frac{13}{27} = 9,481481481481481$$