Resolver (1/2)^3*(1/3)^2*(11/5)^2

$$( \frac { 1 } { 2 } ) ^ { 3 } \cdot ( \frac { 1 } { 3 } ) ^ { 2 } \cdot ( 1 \frac { 1 } { 5 } ) ^ { 2 }$$

Calcular

$$\frac{1}{50}=0.02$$

Pasos da solución

Calcula \frac{1}{2} á potencia de 3 e obtén \frac{1}{8}.

$$\frac{1}{8}\times \left(\frac{1}{3}\right)^{2}\times \left(\frac{1\times 5+1}{5}\right)^{2}$$

Calcula \frac{1}{3} á potencia de 2 e obtén \frac{1}{9}.

$$\frac{1}{8}\times \frac{1}{9}\times \left(\frac{1\times 5+1}{5}\right)^{2}$$

Multiplica \frac{1}{8} e \frac{1}{9} para obter \frac{1}{72}.

$$\frac{1}{72}\times \left(\frac{1\times 5+1}{5}\right)^{2}$$

Multiplica 1 e 5 para obter 5.

$$\frac{1}{72}\times \left(\frac{5+1}{5}\right)^{2}$$

Suma 5 e 1 para obter 6.

$$\frac{1}{72}\times \left(\frac{6}{5}\right)^{2}$$

Calcula \frac{6}{5} á potencia de 2 e obtén \frac{36}{25}.

$$\frac{1}{72}\times \frac{36}{25}$$

Multiplica \frac{1}{72} e \frac{36}{25} para obter \frac{1}{50}.

$$\frac{1}{50}$$

Factorizar

$$\frac{1}{2 \cdot 5 ^ {2}} = 0.02$$