Solucionar (2(1-1/2)+[(2)^2]^-3/-frac{3{4}-(-3)+2/5*3/8})=frac{325}{768}=04232

$$( \frac { 2 ( 1 - \frac { 1 } { 2 } ) + [ ( 2 ) ^ { 2 } ] ^ { - 3 } } { - \frac { 3 } { 4 } - ( - 3 ) + \frac { 2 } { 5 } \cdot \frac { 3 } { 8 } } ) = \frac { 325 } { 768 } = 04232$$

Comprobar

Pasos de la solución

Para elevar una potencia a otra potencia, multiplique los exponentes. Multiplique 2 y -3 para obtener -6.

$$\frac{2\left(1-\frac{1}{2}\right)+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0\times 4232$$

Resta \frac{1}{2} de 1 para obtener \frac{1}{2}.

$$\frac{2\times \frac{1}{2}+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0\times 4232$$

Multiplica 2 y \frac{1}{2} para obtener 1.

$$\frac{1+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0\times 4232$$

Calcula 2 a la potencia de -6 y obtiene \frac{1}{64}.

$$\frac{1+\frac{1}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0\times 4232$$

Suma 1 y \frac{1}{64} para obtener \frac{65}{64}.

$$\frac{\frac{65}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0\times 4232$$

El opuesto de -3 es 3.

$$\frac{\frac{65}{64}}{-\frac{3}{4}+3+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0\times 4232$$

Suma -\frac{3}{4} y 3 para obtener \frac{9}{4}.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0\times 4232$$

Multiplica \frac{2}{5} y \frac{3}{8} para obtener \frac{3}{20}.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{3}{20}}=\frac{325}{768}\text{ and }\frac{325}{768}=0\times 4232$$

Suma \frac{9}{4} y \frac{3}{20} para obtener \frac{12}{5}.

$$\frac{\frac{65}{64}}{\frac{12}{5}}=\frac{325}{768}\text{ and }\frac{325}{768}=0\times 4232$$

Divide \frac{65}{64} por \frac{12}{5} al multiplicar \frac{65}{64} por el recíproco de \frac{12}{5}.

$$\frac{65}{64}\times \frac{5}{12}=\frac{325}{768}\text{ and }\frac{325}{768}=0\times 4232$$

Multiplica \frac{65}{64} y \frac{5}{12} para obtener \frac{325}{768}.

$$\frac{325}{768}=\frac{325}{768}\text{ and }\frac{325}{768}=0\times 4232$$

Compare \frac{325}{768} y \frac{325}{768}.

$$\text{true}\text{ and }\frac{325}{768}=0\times 4232$$

Multiplica 0 y 4232 para obtener 0.

$$\text{true}\text{ and }\frac{325}{768}=0$$

Compare \frac{325}{768} y 0.

$$\text{true}\text{ and }\text{false}$$

La conjunción de \text{true} y \text{false} es \text{false}.

$$\text{false}$$