Resolver 2left(1-1/2right)+left(2^2right)^-3/-frac{3{4}--3+2/53/8}=frac{325}{768}=423*2

$$\frac{ 2 \left( 1- \frac{ 1 }{ 2 } \right) + { \left( { 2 }^{ 2 } \right) }^{ -3 } }{ - \frac{ 3 }{ 4 } --3+ \frac{ 2 }{ 5 } \frac{ 3 }{ 8 } } = \frac{ 325 }{ 768 } = 423 \cdot 2$$

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Passos Para a Resolução

Para aumentar uma potência para outra potência, multiplique os expoentes. Multiplique 2 e -3 para obter -6.

$$\frac{2\left(1-\frac{1}{2}\right)+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{2\times \frac{1}{2}+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{1+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

Calcule 2 elevado a -6 e obtenha \frac{1}{64}.

$$\frac{1+\frac{1}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{\frac{65}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

O oposto de -3 é 3.

$$\frac{\frac{65}{64}}{-\frac{3}{4}+3+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{3}{20}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{\frac{65}{64}}{\frac{12}{5}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

Divida \frac{65}{64} por \frac{12}{5} ao multiplicar \frac{65}{64} pelo recíproco de \frac{12}{5}.

$$\frac{65}{64}\times \frac{5}{12}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{325}{768}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\text{true}\text{ and }\frac{325}{768}=423\times 2$$

Multiplique 423 e 2 para obter 846.

$$\text{true}\text{ and }\frac{325}{768}=846$$

Converta 846 na fração \frac{649728}{768}.

$$\text{true}\text{ and }\frac{325}{768}=\frac{649728}{768}$$

Compare \frac{325}{768} e \frac{649728}{768}.

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

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

$$\text{false}$$