Resolver (2(1-1/2)+[(2)^2]^-3/-frac{3{4}-(-3)+2/5*3/8})=frac{325}{768}=0.4232

$$( \frac { 2 ( 1 - \frac { 1 } { 2 } ) + [ ( 2 ) ^ { 2 } ] ^ { - 3 } } { - \frac { 3 } { 4 } - ( - 3 ) + \frac { 2 } { 5 } \cdot \frac { 3 } { 8 } } ) = \frac { 325 } { 768 } = 0.4232$$

Verificar

Pasos da solución

Para elevar unha potencia a outra potencia, multiplica os expoñentes. Multiplica 2 e -3 para obter -6.

$$\frac{2\left(1-\frac{1}{2}\right)+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

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

$$\frac{2\times \frac{1}{2}+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Multiplica 2 e \frac{1}{2} para obter 1.

$$\frac{1+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Calcula 2 á potencia de -6 e obtén \frac{1}{64}.

$$\frac{1+\frac{1}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Suma 1 e \frac{1}{64} para obter \frac{65}{64}.

$$\frac{\frac{65}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

O contrario de -3 é 3.

$$\frac{\frac{65}{64}}{-\frac{3}{4}+3+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Suma -\frac{3}{4} e 3 para obter \frac{9}{4}.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Multiplica \frac{2}{5} e \frac{3}{8} para obter \frac{3}{20}.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{3}{20}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Suma \frac{9}{4} e \frac{3}{20} para obter \frac{12}{5}.

$$\frac{\frac{65}{64}}{\frac{12}{5}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Divide \frac{65}{64} entre \frac{12}{5} mediante a multiplicación de \frac{65}{64} polo recíproco de \frac{12}{5}.

$$\frac{65}{64}\times \frac{5}{12}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Multiplica \frac{65}{64} e \frac{5}{12} para obter \frac{325}{768}.

$$\frac{325}{768}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Comparar \frac{325}{768} e \frac{325}{768}.

$$\text{true}\text{ and }\frac{325}{768}=0.4232$$

Converte o número decimal 0.4232 á fracción \frac{4232}{10000}. Reduce a fracción \frac{4232}{10000} a termos máis baixos extraendo e cancelando 8.

$$\text{true}\text{ and }\frac{325}{768}=\frac{529}{1250}$$

O mínimo común múltiplo de 768 e 1250 é 480000. Converte \frac{325}{768} e \frac{529}{1250} a fraccións co denominador 480000.

$$\text{true}\text{ and }\frac{203125}{480000}=\frac{203136}{480000}$$

Comparar \frac{203125}{480000} e \frac{203136}{480000}.

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

A conxunción de \text{true} e \text{false} é \text{false}.

$$\text{false}$$