Resolver (1+1/2)^2/(frac{1{2})^3}

$$\frac { ( 1 + \frac { 1 } { 2 } ) ^ { 2 } } { ( \frac { 1 } { 2 } ) ^ { 3 } }$$

Calcular

$$18$$

Pasos da solución

Suma 1 e \frac{1}{2} para obter \frac{3}{2}.

$$\frac{\left(\frac{3}{2}\right)^{2}}{\left(\frac{1}{2}\right)^{3}}$$

Calcula \frac{3}{2} á potencia de 2 e obtén \frac{9}{4}.

$$\frac{\frac{9}{4}}{\left(\frac{1}{2}\right)^{3}}$$

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

$$\frac{\frac{9}{4}}{\frac{1}{8}}$$

Divide \frac{9}{4} entre \frac{1}{8} mediante a multiplicación de \frac{9}{4} polo recíproco de \frac{1}{8}.

$$\frac{9}{4}\times 8$$

Multiplica \frac{9}{4} e 8 para obter 18.

$$18$$

Factorizar

$$2\times 3^{2}$$